Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension
arXiv:2205.02166 · doi:10.1103/PhysRevB.107.125122
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.
arXiv comment7 pages, 4 figures
References in corpus (27)
- Entanglement in quantum critical phenomena
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Conformal field theory out of equilibrium: a review
- Nonequilibrium quantum criticality in open electronic systems
- Quantum transport in ultracold atoms
- Two-terminal transport measurements with cold atoms
- Finite one dimensional impenetrable Bose systems: Occupation numbers
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Universal properties of hard-core bosons confined on one-dimensional lattices
- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
- Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
- Ground-state properties of hard core bosons in one-dimensional harmonic traps
- Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
- Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
- Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
- Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
- Thermalization of nonequilibrium electrons in quantum wires
- Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
- Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
- Steady-state properties of a thermodynamically unbalanced Fermi gas
- Interaction effects on thermal transport in quantum wires
- Steady-state dynamics and effective temperatures of quantum criticality in an open system
- Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
- Nonequilibrium phases and phase transitions of the XY-model
- Mixed-order symmetry-breaking quantum phase transition far from equilibrium
- Classical and quantum liquids induced by quantum fluctuations