On the possibility of complete revivals after quantum quenches to a critical point

Abstract

In a recent letter, J. Cardy, Phys. Rev. Lett. \textbf{112}, 220401 (2014), the author made a very interesting observation that complete revivals of quantum states after quantum quench can happen in a period which is a fraction of the system size. This is possible for critical systems that can be described by minimal conformal field theories (CFT) with central charge $c<1$. In this article, we show that these complete revivals are impossible in microscopic realizations of those minimal models. We will prove the absence of the mentioned complete revivals for the critical transverse field Ising chain analytically, and present numerical results for the critical line of the XY chain. In particular, for the considered initial states, we will show that criticality has no significant effect in partial revivals. We also comment on the applicability of quasi-particle picture to determine the period of the partial revivals qualitatively. In particular, we detect a regime in the phase diagram of the XY chain which one can not determine the period of the partial revivals using the quasi-particle picture.

7 pages, 8 figures, published version

References in corpus (9)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Topological classification of dynamical phase transitions
• Decoherence induced by interacting quantum spin baths
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Quantum relaxation after a quench in systems with boundaries
• Loschmidt Echo Revivals: Critical and Noncritical
• Direct observation of quantum criticality in Ising spin chains
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains

Cited by in corpus (7)

• Work statistics and symmetry breaking in an excited state quantum phase transition
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semi-analytical approach
• Minimal action control method in quantum critical models
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States