In Damerow and Kehrein [Phys. Rev. B 113, 165102 (2026)] proposed the conjecture that, for quantum quenches within the same phase, the overlap between the initial ground state and postquench eigenstates is maximal for the postquench ground state. We show that this statement is not valid in general. An explicit local, translationally invariant, gapped free-fermion counterexample exists even though the pre- and postquench Hamiltonians are connected by a symmetry-preserving gapped path and the thermodynamic-limit spectrum is continuous. The example therefore indicates that phase equivalence must be supplemented by an additional dynamical or geometric condition, beyond the absence of an equilibrium phase boundary.

Close

PrevNext

Reuse & PermissionsView figure in article

• Nonequilibrium statistical mechanics
• Phase diagrams
• Phase transitions
• Quantum phase transitions
• Quantum quench
• 1-dimensional spin chains
• Nonequilibrium systems
• Quantum spin models
• Exact diagonalization
• Integrable systems
• Ising model
• Quantum spin chains
• Spin chains