Supercurrent survival under Rosen-Zener quench of hard core bosons

Abstract

We study the survival of super-currents in a system of impenetrable bosons subject to a quantum quench from its critical superfluid phase to an insulating phase. We show that the evolution of the current when the quench follows a Rosen-Zener profile is exactly solvable. This allows us to analyze a quench of arbitrary rate, from a sudden destruction of the superfluid to a slow opening of a gap. The decay and oscillations of the current are analytically derived, and studied numerically along with the momentum distribution after the quench. In the case of small supercurrent boosts $\nu$, we find that the current surviving at long times is proportional to ${\nu }^3$.

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Cited by in corpus (18)

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• Dynamical localization in a chain of hard core bosons under a periodic driving
• Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Near-adiabatic parameter changes in correlated systems: Influence of the ramp protocol on the excitation energy
• Analytically solvable many-body Rosen-Zener quantum battery
• Fast dynamics for atoms in optical lattices
• System size scaling of topological defect creation in a second-order dynamical quantum phase transition
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• Optimal time-dependent lattice models for nonequilibrium dynamics
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Collision of one-dimensional fermion clusters
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• Survival of current in a periodically driven hard-core bosonic system
• Drag dynamics in one-dimensional Fermi systems