论文标题
偏置驱动硬核玻色子的准标准状态的命运
Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension
论文作者
论文摘要
一个维度的玻色子显示出一种称为准敏感的现象，其中相关性以动力爪的方式衰减。我们研究了与宏观铅的链链链的非平衡稳态稳态中的准偏态的命运，该稳定链与宏观铅相结合，该铅含有不同的化学势。发现有限的偏差破坏了准符合的状态，并且确定了准键率分数的临界缩放函数，在零偏置转变附近。确定相关的关键指数并通过数值验证。远离平衡，该系统表现出指数衰减的相关性，其特征是偏置依赖性相关长度在平衡方面发散。另外，发现了幂律校正，其特征是指数取决于链导率耦合，并且在零偏置下未分析。这种完全可分离的非平衡性强相互作用的系统具有出色的特性，即在线性响应中无法获得无限偏见的近平衡状态。这些结果有助于阐明一旦从平衡约束中解放出来的强烈相互作用而产生的复杂特性。
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.
