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arXiv · 2205.02166

Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension

T. O. Puel·S. Chesi·S. Kirchner·P. Ribeiro
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Abstract

Bosons in one dimension display a phenomenon called quasi-condensation, where correlations decay in a powerlaw fashion. We study the fate of quasi-condensation in the non-equilibrium steady-state of a chain of hard-core bosons coupled to macroscopic leads which are held at different chemical potentials. It is found that a finite bias destroys the quasi-condensed state and the critical scaling function of the quasi-condensed fraction, near the zero bias transition, is determined. Associated critical exponents are determined and numerically verified. Away from equilibrium, the system exhibits exponentially decaying correlations that are characterized by a bias-dependent correlation length that diverges in equilibrium. In addition, power-law corrections are found, which are characterized by an exponent that depends on the chain-leads coupling and is non-analytic at zero bias. This exactly-solvable nonequilibrium strongly-interacting system has the remarkable property that, the near-equilibrium state at infinitesimal bias, cannot be obtained within linear response. These results aid in unraveling the intricate properties spawned by strong interactions once liberated from equilibrium constraints.

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T. O. Puel, S. Chesi, S. Kirchner, P. Ribeiro. 2022-05-04. Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension. https://doi.org/10.1103/physrevb.107.125122

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