Localized dynamics following a quantum quench in a non-integrable system: an example on the sawtooth ladder
Rishabh Khare, Sayan Choudhury
Abstract
Abstract Motivated by the recent discovery of ergodicity breaking in geometrically frustrated systems, we study the quench dynamics of interacting hardcore bosons on a sawtooth ladder. We identify a set of initial states for which this system exhibits characteristic signatures of localization like initial state memory retention and slow growth of entanglement entropy for a wide parameter regime. Remarkably, this localization persists even when the many-body spectrum is thermalizing. We argue that the localized dynamics originates from an interaction induced quantum interference. Our results show that the sawtooth ladder can be a fertile platform for realizing non-equilibrium quantum states of matter.
Topics & Concepts
Sawtooth wavePhysicsQuantum entanglementQuantumErgodicityQuantum mechanicsDynamics (music)Statistical physicsBosonQuantum dynamicsEntropy (arrow of time)State (computer science)ChaoticQuantum stateQuantum systemSuperselectionOpen quantum systemQuantum discordSpectrum (functional analysis)Quantum decoherenceQuantum chaosQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesQuantum chaos and dynamical systems