Out-of-equilibrium dynamics and thermalization of string order

被引：19
|
作者：
Mazza, Leonardo [1 ,2 ]
Rossini, Davide [1 ,2 ]
Endres, Manuel [3 ]
Fazio, Rosario [1 ,2 ]
机构：
[1] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy
[2] CNR, Ist Nanosci, I-56126 Pisa, Italy
[3] Max Planck Inst Quantum Opt, D-85748 Garching, Germany
来源：
PHYSICAL REVIEW B | 2014年 / 90卷 / 02期
关键词：
MANY-BODY SYSTEM; QUANTUM SPIN; MOTT INSULATORS; GROUND-STATES; ANTIFERROMAGNETS; RELAXATION; EMERGENCE; CHAOS; MECHANICS; SYMMETRY;
D O I：
10.1103/PhysRevB.90.020301
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of nonlocal correlations following a sudden quench is studied by means of matrix-product-state-based algorithms. Thermalization occurs only for scales up to a horizon growing at a well defined speed, due to the finite maximal velocity at which string correlations can propagate, related to a Lieb-Robinson bound. The persistence of string ordering at finite times is nontrivially related to symmetries of the quenched Hamiltonian. A qualitatively similar behavior is found for the string order of the Mott insulating phase in the Bose-Hubbard chain. This paves the way towards an experimental testing of our results in present cold-atom setups.
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页数：5
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