Quantum Hysteresis in Coupled Light-Matter Systems

Abstract

We investigate the non-equilibrium quantum dynamics of a canonical light-matter system, namely the Dicke model, when the light-matter interaction is ramped up and down through a cycle across the quantum phase transition. Our calculations reveal a rich set of dynamical behaviors determined by the cycle times, ranging from the slow, near adiabatic regime through to the fast, sudden quench regime. As the cycle time decreases, we uncover a crossover from an oscillatory exchange of quantum information between light and matter that approaches a reversible adiabatic process, to a dispersive regime that generates large values of light-matter entanglement. The phenomena uncovered in this work have implications in quantum control, quantum interferometry, as well as in quantum information theory.

9 pages and 4 figures

References in corpus (16)

• Cavity-controlled chemistry in molecular ensembles
• Quantum Phase Transitions and Bipartite Entanglement
• Dynamical phase transition in the open Dicke model
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Accurate numerical solution to the finite-size Dicke model
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Coherent Microwave Control of Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Many body generalization of the Landau Zener problem
• Quantum limited measurements of atomic scattering properties
• Polariton states in circuit QED for electromagnetically induced transparency
• Optimised multi-ion cavity coupling
• Mathematical Methods in Quantum Optics: the Dicke Model
• Universal Critical Behavior in the Dicke Model
• Entanglement dynamics of the ultra-strong coupling three-qubit Dicke model
• Optical signatures of quantum phase transitions in a light-matter system

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• Optimal basis for the generalized Dicke model
• Energy transfer in $N$-component nanosystems enhanced by pulse-driven vibronic many-body entanglement
• Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System
• Quantum information scrambling in adiabatically-driven critical systems
• Ladder of Loschmidt anomalies in the deep strong-coupling regime of a qubit-oscillator system