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Typical entanglement entropy in systems with particle-number conservation

Yale Yauk1,2,3,4, Rohit Patil5, Yicheng Zhang6,7, Marcos Rigol5, and Lucas Hackl1,2

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Phys. Rev. B 110, 235154 – Published 26 December, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.235154

Abstract

We calculate the typical bipartite entanglement entropy 〈SA〉N in systems containing indistinguishable particles of any kind as a function of the total particle number N, the volume V, and the subsystem fraction f=VA/V, where VA is the volume of the subsystem. We expand our result as a power series 〈SA〉N=afV+bV+c+o(1), and find that c is universal (i.e., independent of the system type), while a and b can be obtained from a generating function characterizing the local Hilbert space dimension. We illustrate the generality of our findings by studying a wide range of different systems, e.g., bosons, fermions, spins, and mixtures thereof. We provide evidence that our analytical results describe the entanglement entropy of highly excited eigenstates of quantum-chaotic spin and boson systems, which is distinct from that of integrable counterparts.

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Phys. Rev. B 110, 235154– Published 26 December, 2024
  • Received 6 November 2023
  • Accepted 6 December 2024
Article part of CHORUS
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