期刊
PHYSICAL REVIEW LETTERS
卷 110, 期 13, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.135704
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资金
- Deutsche Forschungsgemeinschaft [SFB-TR 12]
- German Excellence Initiative via the Nanosystems Initiative Munich
- NSF [DMR-0907039, PHY11-25915]
- AFOSR [FA9550-10-1-0110]
- Sloan and Simons Foundations
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1206410] Funding Source: National Science Foundation
A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to nonanalytic behavior of the free energy density at the critical temperature: The knowledge of the free energy density in one phase is insufficient to predict the properties of the other phase. In this Letter we show that a close analogue of this behavior can occur in the real time evolution of quantum systems, namely nonanalytic behavior at a critical time. We denote such behavior a dynamical phase transition and explore its properties in the transverse-field Ising model. Specifically, we show that the equilibrium quantum phase transition and the dynamical phase transition in this model are intimately related. DOI: 10.1103/PhysRevLett.110.135704
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