Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume 2021, Issue 10, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1742-5468/ac2a9c
Keywords
quantum thermalization; quantum quenches
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [FOR 2692, 355031190]
- International Center for Theoretical Sciences (ICTS) [ICTS/hydrodynamics2019/11]
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The observable long-time behavior of an isolated many-body system after a quantum quench is studied, and it is found that for common spin Hamiltonians, there is an absence of thermalization. The pre-quench Hamiltonian must exhibit a Z (2) symmetry, while the post-quench Hamiltonian must violate this symmetry.
The observable long-time behavior of an isolated many-body system after a quantum quench is considered, i.e. an eigenstate (or an equilibrium ensemble) of some pre-quench Hamiltonian H serves as initial condition which then evolves in time according to some post-quench Hamiltonian H ( p ). Absence of thermalization is analytically demonstrated for a large class of quite common pre- and post-quench spin Hamiltonians. The main requirement is that the pre-quench Hamiltonian must exhibit a Z (2) (spin-flip) symmetry, which would be spontaneously broken in the thermodynamic limit, though we actually focus on finite (but large) systems. On the other hand, the post-quench Hamiltonian must violate the Z (2) symmetry, but for the rest may be non-integrable and may obey the eigenstate thermalization hypothesis for (sums of) few-body observables.
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