2021/10/01 by Peter Reimann
Physics and Astronomy · #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Observable #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum system #Thermalisation #Time evolution #Topological Materials and Phenomena #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/ac2a9c
published as J. Stat. Mech. 103106 (2021)
openalex publication_date 2021/10/01 · arxiv created 2021/11/02 · arxiv updated 2021/11/03 · openalex created_date 2021/11/08 · openalex updated_date 2026/08/05
Abstract 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.