Scaling of decoherence and energy flow in interacting quantum spin systems

被引:13
作者
Rossini, Davide [1 ]
Vicari, Ettore
机构
[1] Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy
关键词
MANY-BODY LOCALIZATION; DYNAMICS; THERMALIZATION; ENTANGLEMENT; RELAXATION;
D O I
10.1103/PhysRevA.99.052113
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium dynamics arising from the sudden variation (turning on) of the interaction between the qubit and the many-body system, in particular when the latter is in proximity to a quantum first-order or continuous-phase transition. Although the approach is quite general, we consider d-dimensional quantum Ising spin models in the presence of transverse and longitudinal fields as paradigmatic quantum many-body systems. To characterize the out-of-equilibrium dynamics, we focus on a number of quantum-information-oriented properties of the model. Namely, we concentrate on the decoherence features of the qubit, the energy interchange between the qubit and the many-body system during the out-of-equilibrium dynamics, and the work distribution associated with the quench. The scaling behaviors predicted by the dynamic finite-size scaling theory are verified through extensive numerical computations for the one-dimensional Ising model, which reveal a fast convergence to the expected asymptotic behavior with increasing system size.
引用
收藏
页数:15
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