Quench from Mott Insulator to Superfluid

Zurek, Wojciech H.¹  Dziarmaga, Jacek²  Tylutki, Marek² 

[1] Los Alamos National Laboratory;Instytut Fizyki Uniwersytetu Jagiello??nskiego

关键词: APPROXIMATIONS;    DIMENSIONS;    EXCITATION;    HARMONIC POTENTIAL;    HUBBARD MODEL;    SIMULATION;    TRAPS;    TUNNEL EFFECT;   

DOI  :  10.2172/1042999
RP-ID  :  LA-UR-12-21841
PID  :  OSTI ID: 1042999
Others  :  TRN: US1203072

学科分类：物理（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of a uniform system in 1...3 dimensions, and in a harmonic trap in 3 dimensions. In all these setups the excitation energy decays like one over third root of the quench time. The -1/3 scaling is explained by an impulse-adiabatic approximation - a variant of the Kibble-Zurek mechanism - describing a crossover from non-adiabatic to adiabatic evolution when the system begins to keep pace with the increasing tunneling rate.