Boundary-driven steady states of the Hubbard model
哈伯德模型的边界驱动稳态
基本信息
- 批准号:277338143
- 负责人:
- 金额:--
- 依托单位:
- 依托单位国家:德国
- 项目类别:Research Grants
- 财政年份:2015
- 资助国家:德国
- 起止时间:2014-12-31 至 2019-12-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Stationary states of low-dimensional open many-body quantum systems exhibit intriguing prop-erties such as long-range correlations even at non-zero temperature, anomalous transport andintriguing entanglement properties. A paradigmatic model of correlated electrons where thephysics behind these unusual non-equilibrium phenomena can be studied is one-dimensional Hub-bard model. With this model far-from-equilibrium behaviour can be studied by introducing dis-sipative Lindblad boundary terms which drive the system into a steady state far from thermalequilibrium. Such a state is inaccessible to approaches based on linear response theory or meanfield methods, but can be analysed even for large system sizes with a recently developed matrixproduct technique for the exact computation of the density matrix for the boundary-driven sys-tem.This is especially interesting for applications since under certain circumstances the steadystates are stable against decoherence.Our goal is to push further the development of exact tools for the construction of non-equilibriumsteady states in the boundary-driven one-dimensional Hubbard model and the study of anoma-lous transport, non-equilibrium quantum phase transitions and the quantum Zeno effect undernon-projective measurements. Computation of the density profiles will reveal the phase diagramas a function of the boundary coupling and open up the possibility to engineer steady stateswhere one passes from a pure, fully coherent state to a maximally mixed state. An intriguingnon-commutativity of limits was observed which leads to abrupt changes of transport propertiesrelated to the quantum Zeno and inverse Zeno effect. Studying the non-equilibrium entanglementspectrum and time-dependent dynamical properties of the XXZ Heisenberg chain and the Hub-bard model in the gapless regime will provide further insight into unusual quantum effects. Byinvestigating which boundary terms preserve the exact solvability of the density matrix we expectimpact of our exact results on the development of a theory of integrability of open one-dimensionalquantum systems.Given the paradigmatic nature and wide applicability of the Hubbard model, these studies provideinsight into generic non-equilibrium behaviour of low-dimensional dissipative quantum systemsfar from thermal equilibrium that are difficult to treat with traditional statistical or numericalapproaches.
低维开放多体量子系统的定态表现出一些有趣的特性,如在非零温度下的远程相关性、异常输运和有趣的纠缠特性。在这些不寻常的非平衡现象背后的物理可以研究的相关电子的一个范例模型是一维Hub-bard模型。在这个模型中,可以通过引入耗散林德布莱德边界项来研究远离平衡的行为,这些边界项驱动系统进入远离热平衡的稳定状态。基于线性响应理论或平均场方法的方法无法达到这种状态,但即使对于大系统尺寸,也可以使用最近开发的矩阵乘积技术进行分析,以精确计算边界驱动系统的密度矩阵。这对于应用来说是特别有趣的,因为在某些情况下,稳态对退相干是稳定的。我们的目标是进一步推动精确工具的发展,用于在边界驱动的一维Hubbard模型中构建非平衡稳态,以及研究非射影测量下的异常输运,非平衡量子相变和量子芝诺效应。密度分布的计算将揭示作为边界耦合函数的相图,并开辟了设计稳态的可能性,即从纯粹的、完全相干的状态过渡到最大混合状态。观察到一个有趣的极限非交换性,它导致与量子芝诺效应和逆芝诺效应相关的输运性质的突变。研究XXZ海森堡链和Hub-bard模型在无间隙状态下的非平衡纠缠谱和随时间变化的动力学特性将进一步深入了解不寻常的量子效应。通过研究哪些边界项保持密度矩阵的精确可解性,我们期望我们的精确结果对一维开放量子系统的可积性理论的发展产生影响。鉴于哈伯德模型的范例性质和广泛的适用性,这些研究提供了对远离热平衡的低维耗散量子系统的一般非平衡行为的见解,这些行为很难用传统的统计或数值方法来处理。
项目成果
期刊论文数量(9)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Effective quantum Zeno dynamics in dissipative quantum systems
- DOI:10.1103/physreva.98.052110
- 发表时间:2018-06
- 期刊:
- 影响因子:2.9
- 作者:V. Popkov;Simon Essink;C. Presilla;G. Schutz
- 通讯作者:V. Popkov;Simon Essink;C. Presilla;G. Schutz
Matrix Product Ansatz for Non-equilibrium Quantum Steady States
非平衡量子稳态的矩阵积方法
- DOI:10.1007/978-3-319-66839-0_11
- 发表时间:2017
- 期刊:
- 影响因子:0
- 作者:Dragi Karevski;Vladislav Popkov;Gunter M. Schütz
- 通讯作者:Gunter M. Schütz
Transition between dissipatively stabilized helical states
耗散稳定螺旋态之间的转变
- DOI:10.1103/physrevresearch.2.022007
- 发表时间:
- 期刊:
- 影响因子:4.2
- 作者:Simon Essink;Stefan Wolff;Gunter M. Schütz;Corinna Kollath;Vladislav Popkov
- 通讯作者:Vladislav Popkov
Spin-helix states in the XXZ spin chain with strong boundary dissipation
XXZ 自旋链中的自旋螺旋态具有强边界耗散
- DOI:10.1088/1751-8121/aa86cb
- 发表时间:2017
- 期刊:
- 影响因子:0
- 作者:Vladislav Popkov;Johannes Schmidt;Carlo Presilla
- 通讯作者:Carlo Presilla
Charge-current correlation equalities for quantum systems far from equilibrium
- DOI:10.21468/scipostphys.6.6.068
- 发表时间:2018-12
- 期刊:
- 影响因子:5.5
- 作者:D. Karevski;G. Schütz
- 通讯作者:D. Karevski;G. Schütz
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Professorin Dr. Corinna Kollath其他文献
Professorin Dr. Corinna Kollath的其他文献
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{{ truncateString('Professorin Dr. Corinna Kollath', 18)}}的其他基金
Ultracold bosonic gases coupled to an optical cavity mode
超冷玻色子气体耦合到光学腔模式
- 批准号:
299282899 - 财政年份:2016
- 资助金额:
-- - 项目类别:
Research Units
Quantum dynamics in dissipative ultracold atomic gases
耗散超冷原子气体中的量子动力学
- 批准号:
276963779 - 财政年份:2015
- 资助金额:
-- - 项目类别:
Research Grants
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