Free-fermion Page curve: Canonical typicality and dynamical emergence

@article{Yu2022FreefermionPC,
  title={Free-fermion Page curve: Canonical typicality and dynamical emergence},
  author={Xie-hang Yu and Zongping Gong and Juan Ignacio Cirac},
  journal={Physical Review Research},
  year={2022}
}
We provide further analytical insights into the newly established noninteracting (free-fermion) Page curve, focusing on both the kinematic and dynamical aspects. First, we unveil the underlying canonical typicality and atypicality for random free-fermion states. The former appears for a small subsystem and is exponentially weaker than the well-known result in the interacting case. The latter explains why the free-fermion Page curve differs remarkably from the interacting one when the subsystem… 
1 Citations

Figures from this paper

Thermalization without eigenstate thermalization

In an isolated quantum many-body system undergoing unitary evolution, we study the thermalization of a subsystem, treating the rest of the system as a bath. In this setting, the eigenstate

References

SHOWING 1-9 OF 9 REFERENCES

Many-Body Localization and Thermalization in Quantum Statistical Mechanics

We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate

Universality in volume-law entanglement of scrambled pure quantum states

A formula for the entanglement entropy of a class of thermal-like states is found and applied more broadly to identify equilibrating states and is exploited as diagnostics for chaotic systems.

Entanglement entropy and quantum field theory

We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy SA = −Tr ρAlogρA corresponding to the reduced density matrix

Quantum thermalization through entanglement in an isolated many-body system

Microscopy of an evolving quantum system indicates that the full quantum state remains pure, whereas thermalization occurs on a local scale, whereas entanglement creates local entropy that validates the use of statistical physics for local observables.

Measuring entanglement entropy in a quantum many-body system

Making use of the single-site-resolved control of ultracold bosonic atoms in optical lattices, two identical copies of a many-body state are prepared and interfered to directly measure quantum purity, Rényi entanglement entropy, and mutual information.

Fast Scramblers

The problem of how fast a quantum system can scramble (thermalize) information, given that the interactions are between bounded clusters of degrees of freedom is considered, and it is conjecture that black holes are the fastest scramblers in nature.

Quantum many-body systems out of equilibrium

How do closed quantum many-body systems driven out of equilibrium eventually achieve equilibration? And how do these systems thermalize, given that they comprise so many degrees of freedom? Progress

Another illustration for general cases can be obtained with the techniques in Subsec

    See Supplemental Material for details