Universal dynamics of a soliton after an interaction quench

Universal dynamics of a soliton after an interaction quench
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相互作用淬灭后孤子的普遍动力学

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
A. Trombettoni
A. Trombettoni
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文献类型:
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作者:
F. Franchini;A. Gromov;M. Kulkarni;A. Trombettoni

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我们提出了一种新型的实验上可行的量子猝灭协议,其中量子系统是在一个相干的,局域激发态的哈密顿量。在这种孤子激发的演化过程中,微观相互作用突然发生了变化。我们研究了孤子的动力学后,这种相互作用淬火的系统,使用流体动力学的方法。我们发现,后淬火动力学是普遍的,在短时间内,即它不依赖于物理系统的微观细节。这些结果的数值支持,提出了使用广义非线性薛定谔方程,相关的实施所提出的协议与超冷玻色子,以及可积Calogero模型在谐波势。最后,它表明,可积性打破的影响,由抛物势和幂律非线性不改变的普遍性的短期动力学。
We propose a new type of experimentally feasible quantum quench protocol in which a quantum system is prepared in a coherent, localized excited state of a Hamiltonian. During the evolution of this solitonic excitation, the microscopic interaction is suddenly changed. We study the dynamics of solitons after this interaction quench for a wide class of systems using a hydrodynamic approach. We find that the post-quench dynamics is universal at short times, i.e. it does not depend on the microscopic details of the physical system. Numerical support for these results is presented using generalized nonlinear Schrödinger equation, relevant for the implementation of the proposed protocol with ultracold bosons, as well as for the integrable Calogero model in harmonic potential. Finally, it is shown that the effects of integrability breaking by a parabolic potential and by a power-law nonlinearity do not change the universality of the short-time dynamics.
DOI: 10.1038/nphys2205
发表时间: 2012-01
期刊: Nature Physics
影响因子: 19.6
作者:
U. Schneider;L. Hackermüller;Jens Philipp Ronzheimer;S. Will;Simon Braun;T. Best;I. Bloch;E. Demler;S. Mandt;D. Rasch;A. Rosch
通讯作者: U. Schneider;L. Hackermüller;Jens Philipp Ronzheimer;S. Will;Simon Braun;T. Best;I. Bloch;E. Demler;S. Mandt;D. Rasch;A. Rosch
DOI: 10.1103/physrevlett.109.126406
发表时间: 2012-09-19
影响因子: 8.6
作者:
Karrasch, C.;Rentrop, J.;Meden, V.
通讯作者: Meden, V.