Entanglement probes in non-equilibrium quantum systems
Po-Yao Chang1*
1Physics Department, National Tsing Hua University, Hsinchu, Taiwan
* Presenter:Po-Yao Chang, email:pychang@phys.nthu.edu.tw
Quantum thermalization is an unsolved question. The evolution of a closed quantum state is governed by the unitary evolution which is deterministic. However, a deterministic evolution seems to contradict the property of thermalization which is independent of initial conditions. To understand how does close quantum state approaching thermalization, we study the level statistics in the entanglement Hamiltonian of generic quantum systems and observe a universal behavior of developing the level repulsion satisfied by the random matrix theory which indicates thermalization. Another topic I would like to present is using the entanglement properties to detect topological and critical behavior in non-equilibrium/non-Hermitian systems. We find a critical phase of the non-Hermitian fermionic lattice model which can be described by the non-unitary conformal field theory with a negative central charge.

Keywords: unitary dynamics, quantum thermalization, non-Hermitian, non-equilibrium, conformal field theory