Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain

Abstract

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution. In this work we show that DQPTs in random Ising chains exhibit critical behavior with nontrivial exponents that are not integer valued and not of mean-field type. By means of an exact renormalization group transformation we estimate the exponents with high accuracy eliminating largely any finite-size effects. We further discuss how the considered dynamical phenomena can be made accessible in current Rydberg atom platforms. In this context we explore signatures of the DQPTs in the statistics of spin configuration measurements available in such architectures. Specifically, we study the statistics of clusters of consecutively aligned spins and observe a marked influence of the DQPT on the corresponding distribution.

arXiv commentAccepted version, 9 pages, 3 figures, journal article

References in corpus (60)

• Probing many-body dynamics on a 51-atom quantum simulator
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Observation of a Discrete Time Crystal
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Exploring the many-body localization transition in two dimensions
• Many-body localization in a quantum simulator with programmable random disorder
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Dynamical quantum phase transitions: a review
• Experimental Observation of a Generalized Gibbs Ensemble
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Observation of a dynamical topological phase transition
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• 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
• Dynamical Topological Order Parameters far from Equilibrium
• Dynamical phase transitions after quenches in non-integrable models
• Dynamical quantum phase transitions: scaling and universality
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Dynamical phase diagram of spin chains with long-range interactions
• Observation of a space-time crystal in a superfluid quantum gas
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• Observation of dynamical quantum phase transition by a superconducting qubit simulation
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Localization phenomena in interacting Rydberg lattice gases with position disorder
• Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Floquet dynamical quantum phase transitions
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Dynamical quantum phase transitions: a brief survey
• Measuring a Dynamical Topological Order Parameter in Quantum Walks
• Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
• Observation of dynamical phase transitions in a topological nanomechanical system
• Dynamical quantum phase transitions in the quantum Potts chain
• Quasiparticle origin of dynamical quantum phase transitions
• Quantitative verification of the Kibble-Zurek mechanism in quantum non-equilibrium dynamics
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photon interferometry
• Experimental observation of dynamical bulk-surface correspondence for topological phases
• Hybrid infinite time-evolving block decimation algorithm for long-range multi-dimensional quantum many-body systems
• Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain
• Dynamical Quantum Phase Transitions of Quantum Spin Chains with the Loschmidt-rate Critical Exponent equal to $\frac{1}{2}$
• Non-equilibrium Renormalization Group Fixed-Points of the Quantum Clock Chain and the Quantum Potts chain

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• Entanglement view of dynamical quantum phase transitions
• Topological dynamical quantum phase transition in a quantum skyrmion phase
• Dynamical quantum phase transitions in spin-$S$ $\mathrm{U}(1)$ quantum link models
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Dynamical Quantum Phase Transition Without An Order Parameter
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Late-time critical behavior of local string-like observables under quantum quenches
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Probing dynamical criticality near quantum phase transitions
• Environment induced dynamical quantum phase transitions in two-qubit Rabi model
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Dynamical quantum phase transitions in Stark quantum spin chains
• Emergent disorder and sub-ballistic dynamics in quantum simulations of the Ising model using Rydberg atom arrays
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter