Dynamical quantum phase transition in a system of non-interacting bosons

Abstract

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a properly distributed static force, provided its dispersion relation is linear. We corroborate the occurrence of the dynamical phase transition by calculating Fisher zeros of the Loschmidt amplitude and showing that they cross the real time axis in thermodynamic limit. A connection is established between the order of nonanalycity in the return rate function and the spectral density of the force. Furthermore, it is shown that a logarithmic or power law scaling holds at the critical times depending on the displacement spectrum. The scaling behaviors are studied for three different cases. Eventually, a scheme for the quantum simulation of such dynamical phase transition and its verification is proposed. We show that the behavior remains observable even by taking into account the environmental effects.

arXiv comment10 pages, 8 figures. This is an alternative narrative for the work previously presented in arXiv:1905.03455

References in corpus (43)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Nonequilibrium dynamics of closed interacting quantum systems
• Bosonization and Strongly Correlated Systems
• Continuous Quantum Phase Transitions
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamics of a Quantum Phase Transition
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum phase transitions
• Dynamical quantum phase transitions: a review
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Phases of the one-dimensional Bose-Hubbard model
• Quench dynamics across quantum critical points
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Scaling of geometric phases close to quantum phase transition in the XY chain
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Color centers in hexagonal boron nitride monolayers: A group theory and ab-initio analysis
• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Geometric phases and criticality in spin chain systems
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Atomic quantum dots coupled to BEC reservoirs
• Emergence of coherence and the dynamics of quantum phase transitions
• Dynamical phase diagram of spin chains with long-range interactions
• Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
• Loschmidt Echo and Berry phase of the quantum system coupled to the XY spin chain: Proximity to quantum phase transition
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Probing macroscopic realism via Ramsey correlations measurements
• Dissipative optomechanical preparation of macroscopic quantum superposition states
• Spin-Mechanical Scheme with Color Centers in Hexagonal Boron Nitride Membranes
• Dynamical phase transitions, time-integrated observables and geometry of states
• Probing BEC phase fluctuations with atomic quantum dots
• Measuring mechanical motion with a single spin
• Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
• Topological properties of Berry's phase
• Analog Quantum Simulation of Extremely Sub-Ohmic Spin-Boson Models
• Measuring geometric phases with a dynamical quantum Zeno effect in a Bose-Einstein condensate
• Heralded entangled coherent states between spatially separated massive resonators

Cited by in corpus (26)

• Floquet dynamical phase transition and entanglement spectrum
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Dynamical Topological Quantum Phase Transitions at Criticality
• Dissipative Floquet Dynamical Quantum Phase Transition
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Engineering Floquet Dynamical Quantum Phase Transition
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Many-body dynamical phase transition in quasi-periodic potential
• Anomalous correlation-induced dynamical phase transitions
• Dynamical quantum phase transition in a bosonic system with long-range interactions
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter