Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo

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.

7 pages, 8 figures

References in corpus (7)

• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Decoherence induced by interacting quantum spin baths
• Universal decoherence induced by an environmental quantum phase transition
• Direct observation of quantum criticality in Ising spin chains
• Exact infinite-time statistics of the Loschmidt echo for a quantum quench
• Loschmidt echo with a non-equilibrium initial state: early time scaling and enhanced decoherence
• Decoherence induced by a dynamic spin environment (I): The universal regime

Cited by in corpus (3)

• Phase Transition in the periodically pulsed Dicke Model
• Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
• Comment on "Exploring chaos in the Dicke model using ground-state fidelity and the Loschmidt echo"