Excited-state quantum phase transition and the quantum speed limit

Abstract

We investigate the influence of an excited-state quantum phase transition (ESQPT) on the quantum speed limit (QSL) time of an open quantum system. The system consists of a central qubit coupled to a spin environment modeled by a Lipkin-Meshkov-Glick (LMG) Hamiltonian. We show that when the coupling between qubit and environment is such that the latter is located at the ESQPT critical energy the qubit evolution shows a remarkable slowdown, marked by an abrupt peak in the QSL time. Interestingly, this slowdown at the ESQPT critical point is induced by the singular behavior of the qubit decoherence rate, being independent of the Markovian nature of the environment.

12 pages. 7 figures. Accepted for publication in Physical Review A

References in corpus (24)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• 14-qubit entanglement: creation and coherence
• Nonlinear atom interferometer surpasses classical precision limit
• Dynamics of Loschmidt echoes and fidelity decay
• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Excited state quantum phase transitions in many-body systems
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Generalized Clausius inequality for nonequilibrium quantum processes
• Quantum phase transitions in the interacting boson model
• Decoherence induced by interacting quantum spin baths
• Optimal state pairs for non-Markovian quantum dynamics
• Quantum Speed Limits Across the Quantum-to-Classical Transition
• Quantum Speed Limit is Not Quantum
• Environment assisted speed-up of the field evolution in cavity QED
• Universal decoherence induced by an environmental quantum phase transition
• Quantum-speed-limit time for multiqubit open systems
• Impact of Quantum Phase Transitions on Excited Level Dynamics
• Quantum quench dynamics in Dicke superradiance models
• Excited-state quantum phase transitions and periodic dynamics
• An improved bound for quantum speed limit time in open quantum systems by introducing an alternative fidelity
• Probing quantum criticality and symmetry breaking at the microscopic level

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• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
• Coding closed and open quantum systems in MATLAB: applications in quantum optics and condensed matter
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Impact of chaos on precursors of quantum criticality
• Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
• Quantum speed limit from a quantum-state-diffusion method
• Degeneracy in excited-state quantum phase transitions of two-level bosonic models and its influence on system dynamics
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Stabilization of product states and excited-state quantum phase transitions in a coupled qubit-field system