Anatomy of Dynamical Quantum Phase Transitions

Abstract

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The associated dynamics has been argued to bear close resemblance to Rabi oscillations characteristic of two-level systems. Here, we address the question of whether this DQPT behavior is merely a manifestation of the limit of an effective two-level system or if it can arise as part of a more complex dynamics. We focus on quantum many-body scarring as a useful toy model allowing us to naturally study state transfer in an otherwise chaotic system. We find that a DQPT signals a change in the dominant contribution to the wave function in the degenerate initial-state manifold, with a direct relation to an OP zero only in the special case of occurring at the midpoint of an evenly degenerate manifold. Our work generalizes previous results and reveals that, in general, periodic DQPTs comprise complex many-body dynamics fundamentally beyond that of two-level systems.

arXiv commentAccepted version

References in corpus (43)

• Time-dependent variational principle for quantum lattices
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Unifying time evolution and optimization with matrix product states
• Dynamical quantum phase transitions: a review
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
• Quantum Many-Body Scars: A Quasiparticle Perspective
• Dynamical phase transitions after quenches in non-integrable models
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Post-Matrix Product State Methods: To tangent space and beyond
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Thermalization dynamics of a gauge theory on a quantum simulator
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Tangent-space methods for uniform matrix product states
• Dynamical phase diagram of spin chains with long-range interactions
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Implementing quantum electrodynamics with ultracold atomic systems
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Transfer Matrices and Excitations with Matrix Product States
• Weak Ergodicity Breaking in the Schwinger Model
• Dynamical phase transitions in the two-dimensional transverse-field Ising model
• Dynamical quantum phase transitions in $U(1)$ quantum link models
• Prominent quantum many-body scars in a truncated Schwinger model
• Quasiparticle origin of dynamical quantum phase transitions
• Dynamical and excited-state quantum phase transitions in collective systems
• Dynamical quantum phase transitions in spin-$S$ $\mathrm{U}(1)$ quantum link models
• Dynamical quantum phase transitions in a noisy lattice gauge theory
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Dynamical quantum phase transitions from quantum optics perspective

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• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Detecting Many-Body Scars from Fisher Zeros
• Quantum error mitigation in optimized circuits for particle-density correlations in real-time dynamics of the Schwinger model
• Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
• Julia Set in Quantum Evolution: The case of Dynamical Quantum Phase Transitions
• Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Dynamical quantum phase transitions on random networks
• Universal features of non-analytical energy storage in quantum critical quantum batteries
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• A digital Rydberg simulation of dynamical quantum phase transitions in the Schwinger model
• Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays