Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model

Abstract

We investigate the dynamical effects of a magnetic flux quench in the Su-Schrieffer-Heeger model in a one-dimensional ring geometry. We show that, even when the system is initially in the half-filled insulating state, the flux quench induces a time-dependent current that eventually reaches a finite stationary value. Such persistent current, which exists also in the thermodynamic limit, cannot be captured by the linear response theory and is the hallmark of nonlinear dynamical effects occurring in the presence of dimerization. Moreover, we show that, for a range of values of dimerization strength and initial flux, the system exhibits dynamical quantum phase transitions, despite the quench is performed within the same topological class of the model.

8 pages, 4 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Topological classification of dynamical phase transitions
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Loschmidt Echo Revivals: Critical and Noncritical
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Dynamical Topological Quantum Phase Transitions at Criticality
• Proposal for measuring the finite-temperature Drude weight of integrable systems

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• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Topology in the space-time scaling limit of quantum dynamics