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arXiv 1011.3207cond-mat.quant-gas
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驱动耗散多体系统的非平衡态Phase Diagram

Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System

Andrea Tomadin, Sebastian Diehl, Peter Zoller

摘要:

研究了具有驱动和耗散的格点上多体玻色系统的非平衡动力学。的时间演化描述的主方程,我们在一个广义Gutzwiller平均场近似的密度矩阵治疗。耗散过程被设计成使得系统在玻色子之间不存在相互作用的情况下被驱动到具有非对角长程序的均匀稳态。我们调查如何的相干相互作用影响定性的系统的稳定状态的属性,并推导出一个非平衡相图具有相变到一个稳定的状态,没有长程序。的相图也表现出一个扩展的域,其中的不稳定性的均匀的稳定状态引起一个持久的密度模式与自发打破平移对称。在小粒子密度的限制下,我们提供了一个精确的解析描述的时间演化过程中的不稳定性。此外,我们调查的瞬态以下的量子淬火的耗散过程,我们阐明集体拓扑变量在这个政权中发挥的突出作用。

英文摘要:

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field approximation for density matrices. The dissipative processes are engineered such that the system, in the absence of interaction between the bosons, is driven into a homogeneous steady state with off-diagonal long range order. We investigate how the coherent interaction affects qualitatively the properties of the steady state of the system and derive a nonequilibrium phase diagram featuring a phase transition into a steady state without long range order. The phase diagram exhibits also an extended domain where an instability of the homogeneous steady state gives rise to a persistent density pattern with spontaneously broken translational symmetry. In the limit of small particle density, we provide a precise analytical description of the time-evolution during the instability. Moreover, we investigate the transient following a quantum quench of the dissipative processes and we elucidate the prominent role played by collective topological variables in this regime.

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