Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo
arXiv:1404.6738 · doi:10.1103/PhysRevE.90.022920
Abstract
We study the quantum critical behaviour of the Dicke Hamiltonian, with finite number of atoms and explore the signature of quantum chaos using measures like the ground state fidelity and the Loschmidt echo. We show that both these quantities clearly point to the chaotic nature of the system in the super-radiant phase.
arXiv comment7 pages, 8 figures
References in corpus (32)
- Nonequilibrium dynamics of closed interacting quantum systems
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Ground state overlap and quantum phase transitions
- Chaos and the Quantum Phase Transition in the Dicke Model
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Fidelity approach to quantum phase transitions
- Environment-independent decoherence rate in classically chaotic systems
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Decoherence, Chaos, and the Second Law
- Entanglement and the Phase Transition in Single Mode Superradiance
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- Decoherence induced by interacting quantum spin baths
- Decoherence and the Loschmidt echo
- A short review on entanglement in quantum spin systems
- Finite-Size Scaling Exponents in the Dicke Model
- Dynamics after a sweep through a quantum critical point
- Quantum Chaotic Environments, The Butterfly Effect, And Decoherence
- Unitary equilibrations: probability distribution of the Loschmidt echo
- Direct observation of quantum criticality in Ising spin chains
- Universal decoherence induced by an environmental quantum phase transition
- Exact infinite-time statistics of the Loschmidt echo for a quantum quench
- Critical dynamics of decoherence
- Dynamics of the Dicke model close to the classical limit
- Loschmidt echo with a non-equilibrium initial state: early time scaling and enhanced decoherence
- The scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points
- Information Geometry and Quantum Phase Transitions in the Dicke Model
- Decoherence induced by a dynamic spin environment (I): The universal regime
- Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment
- Quantum chaos and operator fidelity metric
- Loschmidt echo for a chaotic oscillator
- The pinning quantum phase transition in a Tonks Girardeau gas: diagnostics by ground state fidelity and the Loschmidt echo
Cited by in corpus (11)
- Dicke coupling by feasible local measurements at the superradiant quantum phase transition
- Phase Transition in the periodically pulsed Dicke Model
- Phase transitions of the anisotropic Dicke model
- Phase transitions of the Dicke model: a unified perspective
- Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
- Simulating continuous symmetry models with discrete ones
- Circuit Complexity through phase transitions: consequences in quantum state preparation
- Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit
- Out-of-Time-Ordered Correlation in Anisotropic Dicke Model
- Comment on "Exploring chaos in the Dicke model using ground-state fidelity and the Loschmidt echo"
- Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model