期刊
PHYSICAL REVIEW B
卷 87, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.174302
关键词
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资金
- NSF [PHY-1211284]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1211284] Funding Source: National Science Foundation
We propose a quantum Monte Carlo (QMC) algorithm for nonequilibrium dynamics in a system with a parameter varying as a function of imaginary time. The method is based on successive applications of an evolving Hamiltonian to an initial state and delivers results for a whole range of the tuning parameter in a single run, allowing for access to both static and dynamic properties of the system. This approach reduces to the standard Schrodinger dynamics in imaginary time for quasi-adiabatic evolutions, i.e., including the leading nonadiabatic correction to the adiabatic limit. We here demonstrate this quasi-adiabatic QMC (QAQMC) method for linear ramps of the transverse-field Ising model across its quantum-critical point in one and two dimensions. The critical behavior can be described by generalized dynamic scaling. For the two-dimensional square-lattice system, we use the method to obtain a high-precision estimate of the quantum-critical point (h/J)(c) = 3.04458(7), where h is the transverse magnetic field and J is the nearest-neighbor Ising coupling. The QAQMC method can also be used to extract the Berry curvature and the metric tensor.
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