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Chaos and the quantum phase transition in the Dicke model.
  • C. Emary, T. Brandes
  • Physics
    Physical review. E, Statistical, nonlinear, and…
  • 15 January 2003
A semiclassical Dicke model is derived that exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos, and it is demonstrated that the system undergoes a transition from quasi-integrability to quantum chaotic.
Quantum chaos triggered by precursors of a quantum phase transition: the dicke model.
The Dicke Hamiltonian, a simple quantum-optical model which exhibits a zero-temperature quantum phase transition, is considered and an exact solution in the thermodynamic limit is derived, relating this phenomenon to a localization-delocalization transition in which a macroscopic superposition is generated.
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. These
Preservation of positivity by dynamical coarse graining
We compare different quantum master equations for the time evolution of the reduced density matrix. The widely applied secular approximation (rotating wave approximation) applied in combination with
Universal oscillations in counting statistics
It is shown that the oscillations of the cumulants in fact constitute a universal phenomenon, appearing as functions of almost any parameter, including time in the transient regime, and the theory provides a unified interpretation of previous theoretical studies of high-ordercumulants as well as new experimental data.
Thermodynamics of a physical model implementing a Maxwell demon.
This work identifies the regime where the energetics of the SET is not affected by the detection, but where its coarse-grained entropy production is shown to contain a new contribution compared to the isolated SET.
Waiting times and noise in single particle transport
The waiting time distribution w(τ), i.e. the probability for a delay τ between two subsequent transition (‘jumps’) of particles, is a statistical tool in (quantum) transport. Using generalized Master
Noise enhancement due to quantum coherence in coupled quantum dots.
It is demonstrated that this novel mechanism for super-Poissonian charge transfer is very sensitive to decoherence caused by electron-phonon scattering as inferred from the measured temperature dependence.
Spontaneous Emission of Phonons by Coupled Quantum Dots
We find an interference effect for electron-phonon interactions in coupled semiconductor quantum dots that can dominate the nonlinear transport properties even for temperatures close to zero. The