Abstract
We study the persistent currents and interspecies entanglement generation in a Bose–Bose mixture formed by two atomic gases (hereafter labeled by the letters A and B) trapped in a one-dimensional ring lattice potential with an artificial gauge field after a sudden quench from zero to strong interactions between the two gases. Assuming that the strength of these interactions is much larger than the single species energies and that the gas A is initially in the Mott-insulator regime, we show that the current of the gas B is reduced with respect to its value prior the interaction quench. Averaging fast oscillations out, the relative decrease of this current is independent of the initial visibility and Peierls phase of the gas B and behaves quadratically with the visibility of the gas A. The second Rényi entropy of the reduced state measuring the amount of entanglement between the two gases is found to scale linearly with the number of sites and to be proportional to the relative decrease of the current.
Highlights
The manifestations of quantum coherence and entanglement in many-body systems is one of the most challenging problems in condensed matter physics and quantum technology
In a ring pierced by a magnetic flux, this gives rise to persistent currents varying periodically with the flux, which were observed long ago in superconductors and normal metals [6, 7, 8, 9]
We have studied the dynamics of persistent currents in a binary mixture in the presence of an interaction quench between the species
Summary
The manifestations of quantum coherence and entanglement in many-body systems is one of the most challenging problems in condensed matter physics and quantum technology. Assuming that the two species are initially decoupled and that the gas A is in the MI regime, we calculate analytically and numerically the time evolution of the current of B-atoms and the generation of entanglement between the A and B-condensates after a sudden quench from zero to strong inter-species interactions. Before calculating the B-current, we study the visibility of a single atomic species in a ring lattice with a gauge field before the interaction quench. Right panel: Time evolution after the interaction quench of the relative B-current variation JB(t) (red curve) and its timeaverage (black curve), Eq (5), divided by λ2A for a lattice with L = 4 sites, NA = NB = 4 atoms of each species, V = 200UB, JB = UA = UB, JA = 0.05UB, φA = φB = π/10 (from numerical calculations). Inset: amplification of the blue box shown in the figure with formula (18) displayed in dashed line
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