Entanglement view of dynamical quantum phase transitions
- URL: http://arxiv.org/abs/2008.04894v2
- Date: Mon, 1 Feb 2021 11:24:58 GMT
- Title: Entanglement view of dynamical quantum phase transitions
- Authors: Stefano De Nicola, Alexios A. Michailidis, Maksym Serbyn
- Abstract summary: We use a matrix product state description of unitary dynamics in the thermodynamic limit to distinguish precession and entanglement DQPTs.
While precession DQPTs are characterized by a large entanglement gap and are semiclassical in their nature, entanglement DQPTs occur near avoided crossings in the entanglement spectrum and can be distinguished by a complex pattern of non-local correlations.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The analogy between an equilibrium partition function and the return
probability in many-body unitary dynamics has led to the concept of dynamical
quantum phase transition (DQPT). DQPTs are defined by non-analyticities in the
return amplitude and are present in many models. In some cases DQPTs can be
related to equilibrium concepts such as order parameters, yet their universal
description is an open question. In this work we provide first steps towards a
classification of DQPTs by using a matrix product state description of unitary
dynamics in the thermodynamic limit. This allows us to distinguish the two
limiting cases of precession and entanglement DQPTs, which are illustrated
using an analytical description in the quantum Ising model. While precession
DQPTs are characterized by a large entanglement gap and are semiclassical in
their nature, entanglement DQPTs occur near avoided crossings in the
entanglement spectrum and can be distinguished by a complex pattern of
non-local correlations. We demonstrate the existence of precession and
entanglement DQPTs beyond Ising model, discuss observables that can distinguish
them and relate their interplay to complex DQPT phenomenology.
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