期刊
PHYSICAL REVIEW LETTERS
卷 121, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.240403
关键词
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资金
- DFG Collaborative Research Centre SFB 1225 ISOQUANT
- DFG DACH project Quantum crystals of matter and light
- Competitive Programme for Rated Researchers of the NRF South Africa
- QuantERA ERA-NET Cofund in Quantum Technologies
- German Ministry of Education and Research (BMBF)
Slow quenches of the magnetic field across the paramagnetic-ferromagnetic phase transition of spin systems produce heat. In systems with short-range interactions the heat exhibits universal power-law scaling as a function of the quench rate, known as Kibble-Zurek scaling. In this work we analyze slow quenches of the magnetic field in the Lipkin-Meshkov-Glick (LMG) model, which describes fully connected quantum spins. We analytically determine the quantum contribution to the residual heat as a function of the quench rate delta by means of a Holstein-Primakoff expansion about the mean-field value. Unlike in the case of short-range interactions, scaling laws in the LMG model are only found for a ramp starting or ending at the critical point. If instead the ramp is symmetric, as in the typical Kibble-Zurek scenario, then the number of excitations exhibits a crossover behavior as a function of delta and tends to a constant in the thermodynamic limit. Previous, and seemingly contradictory, theoretical studies are identified as specific limits of this dynamics. Our results can be tested on several experimental platforms, including quantum gases and trapped ions.
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