Loschmidt Echo Revivals: Critical and Noncritical

Abstract

A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point $-$ measuring the time dependence of the overlap between initial and time-evolved states $-$ is expected to exhibit an accelerated relaxation followed by periodic revivals. We here introduce a new exactly solvable model, the extended Su-Schrieffer-Heeger model, the Loschmidt echo of which provides a counterexample. A parallell analysis of the quench dynamics of the three-site spin-interacting $XY$ model allows us to pinpoint the conditions under which a periodic Loschmidt revival actually appears

9 pages, 6 figures (including Supplemental Material); to appear in Phys. Rev. Lett

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Cited by in corpus (8)

• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• On the possibility of complete revivals after quantum quenches to a critical point
• Emergent phases in a compass chain with multisite interactions
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction