Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators

Abstract

We analyze signatures of the dynamical quantum phase transitions in physical observables. In particular, we show that both the expectation value and various out of time order correlation functions of the finite length product or string operators develop cusp singularities following quench protocols, which become sharper and sharper as the string length increases. We illustrated our ideas analyzing both integrable and nonintegrable one-dimensional Ising models showing that these transitions are robust both to the details of the model and to the choice of the initial state.

14 pages, 8 captioned figures. Title changed and supplementary added

References in corpus (13)

• Quantum Quench in the Transverse Field Ising Chain
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Topological classification of dynamical phase transitions
• First order dynamical phase transitions
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Entanglement view of dynamical quantum phase transitions
• Floquet dynamical phase transition and entanglement spectrum
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Local measures of dynamical quantum phase transitions
• Dynamical quantum phase transitions

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• Insights from the exact analytical solution of periodically driven transverse field Ising chain
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• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
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• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
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• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
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• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses