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Updated: Jun 3, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
1Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, México.
Summary
This study analyzes a one-dimensional XX chain under nonequilibrium conditions. Researchers extended analytical solutions for the steady state, revealing non-Gaussian correlations and a potential phase transition signature.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Investigating nonequilibrium quantum systems is crucial for understanding complex dynamics.
- Previous work provided analytical solutions for specific XX chain parameters.
Purpose of the Study:
- Extend analytical solutions for the nonequilibrium steady state of a 1D XX chain.
- Analyze correlation functions and identify potential phase transitions.
Main Methods:
- Utilized the Lindblad master equation for local dephasing.
- Extended analytical solutions to arbitrary parameters and magnetic fields.
- Evaluated one-, two-, and three-point correlation functions.
Main Results:
- The nonequilibrium stationary state was found to be non-Gaussian.
- Weak correlations in the thermodynamic and weak-driving limit were described by a matrix product operator ansatz (dimension 4).
- A nonequilibrium phase transition at zero dephasing was identified.
Conclusions:
- The study provides a comprehensive analytical solution for the driven XX chain.
- The non-Gaussian nature and weak correlations offer insights into complex quantum states.
- System-size scaling of relaxation time may indicate nonequilibrium phase transitions.
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