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Complete Generalized Gibbs Ensembles in an Interacting Theory.
E Ilievski1, J De Nardis1, B Wouters1
1Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands.
Physical Review Letters
|November 10, 2015
Summary
Researchers identified conserved charges for integrable many-particle systems. This enables exact predictions for stationary states after quantum quenches using the generalized Gibbs ensemble (GGE).
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Statistical Mechanics
Background:
- Integrable many-particle systems are expected to reach a stationary state described by a generalized Gibbs ensemble (GGE).
- A complete set of conserved charges is necessary for the GGE to yield exact steady-state predictions.
- Identifying these charges has been a long-standing challenge.
Purpose of the Study:
- To solve the problem of identifying a complete set of conserved charges for integrable systems.
- To construct a generalized Gibbs ensemble (GGE) that uniquely describes the stationary state after a quantum quench.
- To provide a general method applicable to other integrable models.
Main Methods:
- Explicit construction of a generalized Gibbs ensemble (GGE).
- Utilizing recently discovered quasilocal charges.
- Application to the spin-1/2 Heisenberg chain.
Main Results:
- A complete set of conserved charges was identified for the spin-1/2 Heisenberg chain.
- A GGE was constructed, uniquely fixing the macrostate of the stationary behavior after a general quantum quench.
- The method successfully reproduced exact steady-state results for the Néel quench problem.
Conclusions:
- The study provides a method to identify conserved charges and construct a GGE for integrable systems.
- Quasilocal charges are crucial for this construction and generalize to other models.
- This work offers exact steady-state predictions for quantum quenches in integrable systems.
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