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Nonequilibrium properties in the transverse XX chain
1Department of Physics, Graduate School of Science, University of Tokyo, Hongo, 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan. ogata@monet.phys.s.u-tokyo.ac.jp
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Summary
This study explores nonequilibrium properties of the transverse XX chain. The steady state relates to equilibrium or ground states of an effective Hamiltonian, influenced by initial conditions and temperature.
Area of Science:
- Condensed matter physics
- Quantum magnetism
Background:
- The transverse XX chain is a fundamental model in quantum magnetism.
- Understanding nonequilibrium steady states is crucial for quantum systems.
Purpose of the Study:
- Investigate the nonequilibrium properties of the transverse XX chain.
- Analyze the relationship between steady states and effective Hamiltonians.
- Examine temperature effects and quantum phase transitions.
Main Methods:
- Analysis of the transverse XX chain model.
- Characterization of steady-state properties.
- Investigation of temperature-dependent physical properties.
Main Results:
- The steady state can be mapped to an equilibrium or ground state of an effective Hamiltonian.
- The effective Hamiltonian's form depends on the initial state.
- Observed effects of temperature on physical properties, including quantum phase transitions.
Conclusions:
- The nonequilibrium steady state of the transverse XX chain exhibits connections to equilibrium and ground-state properties.
- Quantum phase transitions are influenced by temperature and initial conditions.