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Dynamic compressibility and aging in Wigner crystals and quantum glasses
Leticia F Cugliandolo1, Thierry Giamarchi, Pierre Le Doussal
1Laboratoire de Physique Théorique et Hautes Energies, 4 Place Jussieu, 75252 Paris Cedex 05, France.
Physical Review Letters
|June 29, 2006
Summary
We investigate quantum systems with disorder, finding distinct quasiequilibrium and aging behaviors. The system
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Disordered systems
Background:
- Quantum elastic systems are often affected by quenched disorder.
- Understanding their nonequilibrium linear response is crucial for various physical phenomena.
Purpose of the Study:
- To investigate the nonequilibrium linear response of quantum elastic systems pinned by quenched disorder.
- To identify and characterize different regimes of system behavior.
- To compute conductivity and compressibility and analyze their dynamic properties.
Main Methods:
- Schwinger-Keldysh real-time techniques.
- Mean-field variational approach.
- Analytic continuation from imaginary-time replica results.
Main Results:
- Identified a quasiequilibrium regime where analytic continuation holds under a marginality condition.
- Observed an aging regime.
- Computed conductivity and compressibility.
- Found compressibility crosses over from dynamic to static values based on waiting time after a quench.
Conclusions:
- The study reveals distinct dynamical regimes in disordered quantum elastic systems.
- The crossover in compressibility provides an experimental probe for waiting-time effects.
- Findings are relevant for understanding systems like Wigner glasses.
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