Phase Transitions in Trajectories of a Superconducting Single-Electron Transistor Coupled to a Resonator
arXiv:1201.2442 · doi:10.1103/PhysRevE.85.051122
Abstract
Recent progress in the study of dynamical phase transitions has been made with a large-deviation approach to study trajectories of stochastic jumps using a thermodynamic formalism. We study this method applied to an open quantum system consisting of a superconducting single-electron transistor, near the Josephson quasiparticle resonance, coupled to a resonator. We find that the dynamical behavior shown in rare trajectories can be rich even when the mean dynamical activity is small and thus the formalism gives insights into the form of fluctuations. The structure of the dynamical phase diagram found from the quantum-jump trajectories of the resonator is studied and we see that sharp transitions in the dynamical activity may be related to the appearance and disappearance of bistabilities in the state of the resonator as system parameters are changed. We also demonstrate that for a fast resonator, the trajectories of quasiparticles are similar to the resonator trajectories.
13 pages, 10 figures
References in corpus (20)
- The large deviation approach to statistical mechanics
- Cooling a nanomechanical resonator with quantum back-action
- Dynamic first-order phase transition in kinetically constrained models of glasses
- Dipole coupling of a double quantum dot to a microwave resonator
- Single artificial-atom lasing
- Universal oscillations in counting statistics
- Microwave Photon Counter Based on Josephson Junctions
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Experimental Tomographic State Reconstruction of Itinerant Microwave Photons
- Dynamical phases and intermittency of the dissipative quantum Ising model
- Full counting statistics of nano-electromechanical systems
- Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
- Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
- Quantum trajectory phase transitions in the micromaser
- Large deviations of ergodic counting processes: a statistical mechanics approach
- Large-deviation analysis for counting statistics in mesoscopic transports
- Current noise of a superconducting single electron transistor coupled to a resonator
- Phase transitions in full counting statistics for periodic pumping
- Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
- Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
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- Nonequilibrium Markov processes conditioned on large deviations
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- Generalised Dicke non-equilibrium dynamics in trapped ions
- Thermodynamics of Quadrature Trajectories in Open Quantum Systems
- Time-integrated observables as order parameters for dynamical phase transitions in closed quantum systems
- Order and symmetry-breaking in the fluctuations of driven systems
- Sampling rare events across dynamical phase transitions
- Quantum trajectories of dissipative time-crystals
- Sanov and Central Limit Theorems for output statistics of quantum Markov chains
- Intermittency and dynamical Lee-Yang zeros of open quantum systems
- Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain
- The kinetic exclusion process: a tale of two fields
- Coupled activity-current fluctuations in open quantum systems under strong symmetries
- Dynamical criticality in open systems: non-perturbative physics, microscopic origin and direct observation
- Spectral signatures of symmetry-breaking dynamical phase transitions
- Conditional reversibility in nonequilibrium stochastic systems
- Dynamical symmetries and crossovers in a three-spin system with collective dissipation
- Nonequilibrium phase transition in a single-electron micromaser
- Dynamical transitions in Markovian exciton transport