Browse Issues:

Testing Quantum Theory by Generalizing Noncontextuality

Markus P. Müller and Andrew J. P. Garner

Phys. Rev. X 13, 041001 (2023) - Published 2 October, 2023

An analysis of what kind of effective statistical behavior is plausible if physics is assumed to be fundamentally quantum sets the stage for more robust tests of the validity of quantum theory.

Excess Noise and Photoinduced Effects in Highly Reflective Crystalline Mirror Coatings

Jialiang Yu, Sebastian Häfner, Thomas Legero, Sofia Herbers, Daniele Nicolodi, Chun Yu Ma, Fritz Riehle, Uwe Sterr, Dhruv Kedar, John M. Robinson, Eric Oelker, and Jun Ye

Phys. Rev. X 13, 041002 (2023) - Published 3 October, 2023

A crystalline reflective coating being considered for future gravitational-wave detectors exhibits peculiar noise features at cryogenic temperatures.

Electrical Tuning of Terahertz Plasmonic Crystal Phases

P. Sai, V. V. Korotyeyev, M. Dub, M. Słowikowski, M. Filipiak, D. B. But, Yu. Ivonyak, M. Sakowicz, Yu. M. Lyaschuk, S. M. Kukhtaruk, G. Cywiński, and W. Knap

Phys. Rev. X 13, 041003 (2023) - Published 4 October, 2023

The discovery of two distinct, electrically tunable phases in a semiconductor-based plasmonic crystal opens new paths to cost-effective, compact, controllable devices for terahertz optoelectronics.

Effective Dynamics of Generative Adversarial Networks

Steven Durr, Youssef Mroueh, Yuhai Tu, and Shenshen Wang

Phys. Rev. X 13, 041004 (2023) - Published 5 October, 2023

A simplified model of a family of machine-learning architectures offers a way to explore a major form of training failure—mode collapse—that is not well understood.

Disentangling Losses in Tantalum Superconducting Circuits

Kevin D. Crowley, Russell A. McLellan, Aveek Dutta, Nana Shumiya, Alexander P. M. Place, Xuan Hoang Le, Youqi Gang, Trisha Madhavan, Matthew P. Bland, Ray Chang, Nishaad Khedkar, Yiming Cady Feng, Esha A. Umbarkar, Xin Gui, Lila V. H. Rodgers, Yichen Jia, Mayer M. Feldman, Stephen A. Lyon, Mingzhao Liu, Robert J. Cava, Andrew A. Houck, and Nathalie P. de Leon

Phys. Rev. X 13, 041005 (2023) - Published 6 October, 2023

Tantalum-based superconducting qubits have shown great promise in extending qubit lifetimes. New systematic measurements identify the key sources of loss and noise in this material system.  

Quantifying Rare Events in Stochastic Reaction-Diffusion Dynamics Using Tensor Networks

Schuyler B. Nicholson and Todd R. Gingrich

Phys. Rev. X 13, 041006 (2023) - Published 9 October, 2023

A new methodology for calculating the rate at which a reaction-diffusion system switches between metastable macrostates provides a tool for understanding how macroscopic patterns arise from microscopic reactions.

Multiscale Lattice Relaxation in General Twisted Trilayer Graphenes

Naoto Nakatsuji, Takuto Kawakami, and Mikito Koshino

Phys. Rev. X 13, 041007 (2023) - Published 10 October, 2023

A theoretical analysis of supermoiré structures in twisted trilayer graphene reveals novel physics, setting the stage for further exploration of such structures beyond the typical two-layer framework.

Temporal Entanglement in Chaotic Quantum Circuits

Alessandro Foligno, Tianci Zhou, and Bruno Bertini

Phys. Rev. X 13, 041008 (2023) - Published 11 October, 2023

To simulate the action of an effective bath in a chaotic system of many quantum particles, one needs resources that grow exponentially in time.

Phonon Self-Energy Corrections: To Screen, or Not to Screen

Jan Berges, Nina Girotto, Tim Wehling, Nicola Marzari, and Samuel Poncé

Phys. Rev. X 13, 041009 (2023) - Published 17 October, 2023

A quantitative comparison of controversial approaches to calculating the self-energy of phonons is made possible by downfolding the problem to effective low-energy systems.

Dispersed, Condensed, and Self-Limiting States of Geometrically Frustrated Assembly

Nicholas W. Hackney, Christopher Amey, and Gregory M. Grason

Phys. Rev. X 13, 041010 (2023) - Published 18 October, 2023

Self-limiting states of frustrated assembly—in which thermodynamics limits the size of an assembling structure at large scales—can exist at finite temperature, a new minimal model suggests.

Simple Reaction-Diffusion Modeling Predicts Inconspicuous Neighborhood-Dependent Color Subclustering of Lizard Scales

Szabolcs Zakany and Michel C. Milinkovitch

Phys. Rev. X 13, 041011 (2023) - Published 20 October, 2023

Researchers have predicted—and confirmed—a secondary pattern on the ocellated lizard’s scales that is too subtle for our eyes to see.

Fabry-Pérot Interferometry at the ν=2/5 Fractional Quantum Hall State

J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra

Phys. Rev. X 13, 041012 (2023) - Published 23 October, 2023

Fabry-Perot interferometry can observe anyon behavior at complex fractional states—a key requirement for analyzing non-abelian states that are sought after for intrinsically fault-tolerant qubits.

High-Threshold Codes for Neutral-Atom Qubits with Biased Erasure Errors

Kaavya Sahay, Junlan Jin, Jahan Claes, Jeff D. Thompson, and Shruti Puri

Phys. Rev. X 13, 041013 (2023) - Published 24 October, 2023

A new model of qubit noise that is motivated by neutral atom qubits leads to much higher rates of error correction in tailored error-correcting codes.

How Criticality Meets Bifurcation in Compressive Failure of Disordered Solids

Ashwij Mayya, Estelle Berthier, and Laurent Ponson

Phys. Rev. X 13, 041014 (2023) - Published 25 October, 2023

Compression experiments of 2D cellular materials shed light on a long-standing debate on the nature of compressive failure and show how precursors to failure can be harnessed for assessing the mechanical health of a material.

Hotter is Easier: Unexpected Temperature Dependence of Spin Qubit Frequencies

Brennan Undseth, Oriol Pietx-Casas, Eline Raymenants, Mohammad Mehmandoost, Mateusz T. Mądzik, Stephan G. J. Philips, Sander L. de Snoo, David J. Michalak, Sergey V. Amitonov, Larysa Tryputen, Brian Paquelet Wuetz, Viviana Fezzi, Davide Degli Esposti, Amir Sammak, Giordano Scappucci, and Lieven M. K. Vandersypen

Phys. Rev. X 13, 041015 (2023) - Published 25 October, 2023

Control signals can shift the frequency of spin-based qubits. New experiments show that this effect corresponds to a temperature increase and can be counterintuitively suppressed by operating at a higher temperature than normal.

Observation of a Prethermal U(1) Discrete Time Crystal

Andrew Stasiuk and Paola Cappellaro

Phys. Rev. X 13, 041016 (2023) - Published 26 October, 2023

Observation of a time crystal—a periodically driven state that breaks time-translation symmetry—at room temperature bolsters the case for using the state as a near-term robust quantum memory.

Path Weight Sampling: Exact Monte Carlo Computation of the Mutual Information between Stochastic Trajectories

Manuel Reinhardt, Gašper Tkačik, and Pieter Rein ten Wolde

Phys. Rev. X 13, 041017 (2023) - Published 26 October, 2023

The information transmission rate of a system can usually be calculated only approximately. A new Monte Carlo simulation scheme makes it possible, for the first time, to do so exactly for a large class of systems.

Bootstrapped Dimensional Crossover of a Spin Density Wave

Anjana M. Samarakoon, J. Strempfer, Junjie Zhang, Feng Ye, Yiming Qiu, J.-W. Kim, H. Zheng, S. Rosenkranz, M. R. Norman, J. F. Mitchell, and D. Phelan

Phys. Rev. X 13, 041018 (2023) - Published 27 October, 2023

In a layered transition-metal oxide, 3D magnetic order emerges as two 2D magnetic sheets intertwine and irreversibly imprint a new metastable sublattice magnetization.

Fate of Time-Reversal Symmetry Breaking in UTe2

M. O. Ajeesh, M. Bordelon, C. Girod, S. Mishra, F. Ronning, E. D. Bauer, B. Maiorov, J. D. Thompson, P. F. S. Rosa, and S. M. Thomas

Phys. Rev. X 13, 041019 (2023) - Published 27 October, 2023

Experiments on very clean crystals of the actinide superconductor UTe2 find no evidence of spontaneous time-reversal symmetry breaking that has been suggested in previous studies.

Tackling Sampling Noise in Physical Systems for Machine Learning Applications: Fundamental Limits and Eigentasks

Fangjun Hu, Gerasimos Angelatos, Saeed A. Khan, Marti Vives, Esin Türeci, Leon Bello, Graham E. Rowlands, Guilhem J. Ribeill, and Hakan E. Türeci

Phys. Rev. X 13, 041020 (2023) - Published 30 October, 2023

A framework to quantify the computational capacity of arbitrary physical systems in the presence of sampling noise provides a tool for best harnessing them for machine learning.

Broadband Quantum Enhancement of the LIGO Detectors with Frequency-Dependent Squeezing

D. Ganapathy et al. (LIGO O4 Detector Collaboration)

Phys. Rev. X 13, 041021 (2023) - Published 30 October, 2023

The LIGO experiment has demonstrated a noise-squeezing technique for its entire frequency-detection range—a feat that could boost the detection rate of black hole mergers by up to 65%.

Erasure Qubits: Overcoming the T1 Limit in Superconducting Circuits

Aleksander Kubica, Arbel Haim, Yotam Vaknin, Harry Levine, Fernando Brandão, and Alex Retzker

Phys. Rev. X 13, 041022 (2023) - Published 1 November, 2023

A simple scheme to convert amplitude-damping noise in superconducting circuits to easier-to-correct heralded erasure noise overcomes conventional limits on quantum information fidelity.

Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer

Dominik Hahn, Maxime Dupont, Markus Schmitt, David J. Luitz, and Marin Bukov

Phys. Rev. X 13, 041023 (2023) - Published 2 November, 2023

The Jarzynski equality is a fundamental law connecting equilibrium processes with nonequilibrium fluctuations. Experiments, for the first time, test it in the quantum many-body regime.

Loss Compensation and Superresolution in Metamaterials with Excitations at Complex Frequencies

Seunghwi Kim, Yu-Gui Peng, Simon Yves, and Andrea Alù

Phys. Rev. X 13, 041024 (2023) - Published 3 November, 2023

Illuminating a high-resolution lens with waves whose intensity diminishes over time can improve the image quality.

Simultaneous Enantiomer-Resolved Ramsey Spectroscopy Scheme for Chiral Molecules

Itay Erez, Eliana Ruth Wallach, and Yuval Shagam

Phys. Rev. X 13, 041025 (2023) - Published 6 November, 2023

A proposed technique to test for slight differences in symmetry between the mirror-image arrangements of chiral molecules opens the door to probe for tiny parity violations.

Interaction-Driven Topological Phase Diagram of Twisted Bilayer MoTe2

Wen-Xuan Qiu, Bohao Li, Xun-Jiang Luo, and Fengcheng Wu

Phys. Rev. X 13, 041026 (2023) - Published 7 November, 2023

A theoretical analysis of twisted bilayer MoTe2, a model system for exploring the interplay between electron interactions and band topology, predicts cascading quantum phase transitions tuned by the twist angle between the layers.

Emergence of Classical Magnetic Order from Anderson Towers: Quantum Darwinism in Action

O. M. Sotnikov, E. A. Stepanov, M. I. Katsnelson, F. Mila, and V. V. Mazurenko

Phys. Rev. X 13, 041027 (2023) - Published 8 November, 2023

In certain magnetic systems, one superposition of quantum eigenstates leads to a particular classical order, demonstrating that quantum-classical connections can be made via not only observables but also quantum states.

Majorana Loop Models for Measurement-Only Quantum Circuits

Kai Klocke and Michael Buchhold

Phys. Rev. X 13, 041028 (2023) - Published 9 November, 2023

A connection between a subclass of quantum circuits and existing frameworks of statistical mechanics allows one to extract genuine quantum-mechanical properties from the boundary of a classical model.

Crumpled Polymer with Loops Recapitulates Key Features of Chromosome Organization

Kirill E. Polovnikov, Hugo B. Brandão, Sergey Belan, Bogdan Slavov, Maxim Imakaev, and Leonid A. Mirny

Phys. Rev. X 13, 041029 (2023) - Published 13 November, 2023

A new model of a polymer folded into loops shows how such loops leave a distinct signature in experimental data and change chromosome topology, aiding understanding of how chromosomes fold themselves into the small volume of a cell nucleus.

Demonstrating Scalable Randomized Benchmarking of Universal Gate Sets

Jordan Hines, Marie Lu, Ravi K. Naik, Akel Hashim, Jean-Loup Ville, Brad Mitchell, John Mark Kriekebaum, David I. Santiago, Stefan Seritan, Erik Nielsen, Robin Blume-Kohout, Kevin Young, Irfan Siddiqi, Birgitta Whaley, and Timothy Proctor

Phys. Rev. X 13, 041030 (2023) - Published 14 November, 2023

A new approach to benchmarking large-scale quantum devices overcomes existing hurdles, scales to thousands of qubit, and can test a variety of universal gate sets.

Reaching the Yield Point of a Glass During X-Ray Irradiation

Alessandro Martinelli, Federico Caporaletti, Francesco Dallari, Michael Sprung, Fabian Westermeier, Giacomo Baldi, and Giulio Monaco

Phys. Rev. X 13, 041031 (2023) - Published 15 November, 2023

The use of x rays to generate stress sources in a glass reveals how glasses, at the atomic scale, respond elastically to the accumulation of stress before becoming fully plastic.

Optimal Control of Nonequilibrium Systems through Automatic Differentiation

Megan C. Engel, Jamie A. Smith, and Michael P. Brenner

Phys. Rev. X 13, 041032 (2023) - Published 16 November, 2023

A new approach to computing optimal nonequilibrium controls applicable to complex systems far from equilibrium, providing a tool for expanded studies into optimized nanotechnology and the evolution of biomolecular systems.

Learning Interacting Theories from Data

Claudia Merger, Alexandre René, Kirsten Fischer, Peter Bouss, Sandra Nestler, David Dahmen, Carsten Honerkamp, and Moritz Helias

Phys. Rev. X 13, 041033 (2023) - Published 20 November, 2023

Models of systems in physics usually start with elementary processes. New work with a neural network shows how models can also be built by observing the system as a whole and deducing the underlying interactions.

Midcircuit Qubit Measurement and Rearrangement in a Yb171 Atomic Array

M. A. Norcia et al.

Phys. Rev. X 13, 041034 (2023) - Published 22 November, 2023

Three research groups have exploited the nuclear spins of ytterbium-171 to manipulate qubits before they are read out—an approach that could lead to efficient error-correction schemes for trapped-atom computing platforms.

Midcircuit Operations Using the omg Architecture in Neutral Atom Arrays

Joanna W. Lis, Aruku Senoo, William F. McGrew, Felix Rönchen, Alec Jenkins, and Adam M. Kaufman

Phys. Rev. X 13, 041035 (2023) - Published 22 November, 2023

Three research groups have exploited the nuclear spins of ytterbium-171 to manipulate qubits before they are read out—an approach that could lead to efficient error-correction schemes for trapped-atom computing platforms.

Superconductivity Studied by Solving Ab Initio Low-Energy Effective Hamiltonians for Carrier Doped CaCuO2, Bi2Sr2CuO6, Bi2Sr2CaCu2O8, and HgBa2CuO4

Michael Thobias Schmid, Jean-Baptiste Morée, Ryui Kaneko, Youhei Yamaji, and Masatoshi Imada

Phys. Rev. X 13, 041036 (2023) - Published 28 November, 2023

A first-principles model accounts for the wide range of critical temperatures (Tc’s) for four materials and suggests a parameter that determines Tc in any high-temperature superconductor.

Microwave-Based Quantum Control and Coherence Protection of Tin-Vacancy Spin Qubits in a Strain-Tuned Diamond-Membrane Heterostructure

Xinghan Guo, Alexander M. Stramma, Zixi Li, William G. Roth, Benchen Huang, Yu Jin, Ryan A. Parker, Jesús Arjona Martínez, Noah Shofer, Cathryn P. Michaels, Carola P. Purser, Martin H. Appel, Evgeny M. Alexeev, Tianle Liu, Andrea C. Ferrari, David D. Awschalom, Nazar Delegan, Benjamin Pingault, Giulia Galli, F. Joseph Heremans, Mete Atatüre, and Alexander A. High

Phys. Rev. X 13, 041037 (2023) - Published 29 November, 2023

Strain engineering of diamond provides a way to realize high-performance tin-vacancy spin qubits that avoid many of the trade-offs inherent to optical quantum control techniques.

Multiscale Data-Driven Energy Estimation and Generation

Tanguy Marchand, Misaki Ozawa, Giulio Biroli, and Stéphane Mallat

Phys. Rev. X 13, 041038 (2023) - Published 30 November, 2023

A new multiscale approach allows for estimating high-dimensional probability distributions and fast sampling of many-body systems in various domains, from statistical physics to cosmology.

GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run

R. Abbott et al. (LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration)

Phys. Rev. X 13, 041039 (2023) - Published 4 December, 2023

The third Gravitational-Wave Transient Catalog contains 90 probable gravitational-wave candidates, including binary black holes, binary neutron stars, and black hole–neutron star binaries across a wide range of masses.

A Postquantum Theory of Classical Gravity?

Jonathan Oppenheim

Phys. Rev. X 13, 041040 (2023) - Published 4 December, 2023

A proposed model unites quantum theory with classical gravity by assuming that states evolve in a probabilistic way, like a game of chance.

Exponential Quantum Speedup in Simulating Coupled Classical Oscillators

Ryan Babbush, Dominic W. Berry, Robin Kothari, Rolando D. Somma, and Nathan Wiebe

Phys. Rev. X 13, 041041 (2023) - Published 4 December, 2023

An algorithm for simulating coupled classical oscillators on a quantum computer offers a new example of quantum advantage, requiring far fewer resources than simulations on a classical computer.

Measurement-Altered Ising Quantum Criticality

Sara Murciano, Pablo Sala, Yue Liu, Roger S. K. Mong, and Jason Alicea

Phys. Rev. X 13, 041042 (2023) - Published 5 December, 2023

In 1D Ising systems, a protocol for weakly measuring the critical degrees of freedom uncovers a rich interplay between measurements and correlations accessible by both experiment and theory.

Enhanced Associative Memory, Classification, and Learning with Active Dynamics

Agnish Kumar Behera, Madan Rao, Srikanth Sastry, and Suriyanarayanan Vaikuntanathan

Phys. Rev. X 13, 041043 (2023) - Published 6 December, 2023

Nonequilibrium activity may provide a surprisingly general way to improve the ability of a system to store and retrieve memory.

Minimum-Action Method for Nonequilibrium Phase Transitions

Ruben Zakine and Eric Vanden-Eijnden

Phys. Rev. X 13, 041044 (2023) - Published 7 December, 2023

A framework for describing phase transitions generalizes the usual statistical mechanics approach to include systems that are out of equilibrium, extending such study to a wide range of applications.

Nonlinear Sigma Models for Monitored Dynamics of Free Fermions

Michele Fava, Lorenzo Piroli, Tobias Swann, Denis Bernard, and Adam Nahum

Phys. Rev. X 13, 041045 (2023) - Published 8 December, 2023

A field-theoretic description of monitored free fermions reveals the entanglement phase diagram of one class of such systems and new universality classes of phase transitions.

Theory of Free Fermions under Random Projective Measurements

Igor Poboiko, Paul Pöpperl, Igor V. Gornyi, and Alexander D. Mirlin

Phys. Rev. X 13, 041046 (2023) - Published 8 December, 2023

A new analytic theory of a monitored 1D free-fermion system shows the absence of a measurement-induced entanglement phase transition conjectured in recent studies.

Republished: Dynamics of Stochastic Integrate-and-Fire Networks

Gabriel Koch Ocker

Phys. Rev. X 13, 041047 (2023) - Published 11 December, 2023

Neural dynamics are typically described by neural field theories derived long ago using simplified neuron models. A new framework incorporates biophysical nonlinearities into these theories.

Gravitational-Wave Parameter Inference with the Newman-Penrose Scalar

Juan Calderón Bustillo, Isaac C. F. Wong, Nicolas Sanchis-Gual, Samson H. W. Leong, Alejandro Torres-Forné, Koustav Chandra, José A. Font, Carlos Herdeiro, Eugen Radu, and Tjonnie G. F. Li

Phys. Rev. X 13, 041048 (2023) - Published 12 December, 2023

A new way to compare numerical simulations of gravitational waves with observations removes existing limitations, enabling the study of new astrophysical phenomena.

Discovery of a Single-Band Mott Insulator in a van der Waals Flat-Band Compound

Shunye Gao et al.

Phys. Rev. X 13, 041049 (2023) - Published 13 December, 2023

The fundamental model for understanding Mott insulators is the single-band Hubbard model. An ideal realization of that model arises in Nb3Cl8, proving a powerful system for exploring Mott physics and other correlated states.

Ultrafast Measurements of Mode-Specific Deformation Potentials of Bi2Te3 and Bi2Se3

Yijing Huang et al.

Phys. Rev. X 13, 041050 (2023) - Published 14 December, 2023

Combining two ultrafast spectroscopy techniques allows for measurements of the electron-phonon coupling in two prototypical topological materials.

Midcircuit Measurements on a Single-Species Neutral Alkali Atom Quantum Processor

T. M. Graham, L. Phuttitarn, R. Chinnarasu, Y. Song, C. Poole, K. Jooya, J. Scott, A. Scott, P. Eichler, and M. Saffman

Phys. Rev. X 13, 041051 (2023) - Published 15 December, 2023

Shelving data qubits in protected hyperfine states while measuring an ancilla qubit allows for robust midcircuit measurements in a neutral atom array, a key step toward extending the lifetime of atomic quantum memories.

A Race-Track Trapped-Ion Quantum Processor

S. A. Moses et al.

Phys. Rev. X 13, 041052 (2023) - Published 18 December, 2023

Major technical improvements to a quantum computer based on trapped ions could bring a large-scale version closer to reality.

Generalized Glauber Dynamics for Inference in Biology

Xiaowen Chen, Maciej Winiarski, Alicja Puścian, Ewelina Knapska, Aleksandra M. Walczak, and Thierry Mora

Phys. Rev. X 13, 041053 (2023) - Published 19 December, 2023

A new model reproduces both the dynamical and steady-state behavior of a group of living organisms, a first for such systems.

Epidemic Spreading in Group-Structured Populations

Siddharth Patwardhan, Varun K. Rao, Santo Fortunato, and Filippo Radicchi

Phys. Rev. X 13, 041054 (2023) - Published 20 December, 2023

Disease contagion is suppressed when different social groups have a large overlap in membership.

Measuring Oscillations with a Million Atmospheric Neutrinos

C. A. Argüelles, P. Fernández, I. Martínez-Soler, and M. Jin (靳淼辰)

Phys. Rev. X 13, 041055 (2023) - Published 20 December, 2023

The combined analysis of present and upcoming atmospheric-neutrino experiments may lead to the solution of outstanding puzzles in neutrino physics.

Microscopics of de Sitter Entropy from Precision Holography

Nikolay Bobev, Thomas Hertog, Junho Hong, Joel Karlsson, and Valentin Reys

Phys. Rev. X 13, 041056 (2023) - Published 21 December, 2023

A new calculation of the entropy of an expanding universe suggests the microscopic building blocks of space and time reside on a sort of cosmic holographic screen.

Qubit-Reuse Compilation with Mid-Circuit Measurement and Reset

Matthew DeCross, Eli Chertkov, Megan Kohagen, and Michael Foss-Feig

Phys. Rev. X 13, 041057 (2023) - Published 22 December, 2023

A technique for compressing a quantum program into a small number of qubits pushes quantum computing closer to its goal of solving meaningful problems that cannot be solved on classical computers.

Bogoliubov Excitations Driven by Thermal Lattice Phonons in a Quantum Fluid of Light

Irénée Frérot, Amit Vashisht, Martina Morassi, Aristide Lemaître, Sylvain Ravets, Jacqueline Bloch, Anna Minguzzi, and Maxime Richard

Phys. Rev. X 13, 041058 (2023) - Published 26 December, 2023

Quantum fluids of light are coupled to their environments. A joint theory-experiment analysis shows this environment includes the thermal vibrations of the lattice hosting the fluid.

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