Flux quench in a system of interacting spinless fermions in one dimension

Abstract

We study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. This quench is equivalent to imposing a pulse of electric field and therefore generates an initial particle current. This current is not a conserved quantity in presence of a lattice and interactions and we investigate numerically its time-evolution after the quench, using the infinite time-evolving block decimation method. For repulsive interactions or large initial flux, we find oscillations that are governed by excitations deep inside the Fermi sea. At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases. Although the linear response theory (valid for a weak flux) predicts the same long-time limit of the current for repulsive and attractive interactions (relation with the zero-temperature Drude weight), larger nonlinearities are observed in the case of repulsive interactions compared with that of the attractive case.

10 pages, 10 figures; v2: Added references. Figures are refined and animations are added. Corrected typos. Published version

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• Engineering Floquet Dynamical Quantum Phase Transition
• Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model
• Bosonization with a background $U(1)$ gauge field
• Dynamics of rotated spin states and magnetic ordering with two-component bosonic atoms in optical lattices
• Controlling inversion and time-reversal symmetries by subcycle pulses in the one-dimensional extended Hubbard model
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Statistical physics of flux-carrying Brownian particles
• Long-lived non-thermal states in pumped one-dimensional systems of hard-core bosons