Nonequilibrium Critical Dynamics with Emergent Supersymmetry
arXiv:2408.06138 · doi:10.1103/qtwr-8kth
Abstract
Proposed as an elegant symmetry relating bosons and fermions, spacetime supersymmetry (SUSY) has been actively pursued in both particle physics and emergent phenomena in quantum critical points (QCP) of topological quantum materials. However, how SUSY casts the light on nonequilibrium dynamics remains open. In this letter, we investigate the Kibble-Zurek dynamics across a QCP with emergent spacetime SUSY between the Dirac semimetal and a superconductor through large-scale quantum Monte Carlo simulation. The scaling behaviors in the whole driven process are uncovered to satisfy the full finite-time scaling (FTS) forms. More crucially, we demonstrate that the emergent SUSY manifests in the intimate relation between the FTS behaviors of fermionic and bosonic observables, namely the fermions and bosons acquire the identical anomalous dimensions. Our work not only brings a fundamental new ingredient into the critical theory with SUSY, but also provide the theoretical guidance to experimental detect of QCP with emergent SUSY from the perspectives of Kibble-Zurek mechanism and FTS.
7+2 pages, 3 figures
References in corpus (80)
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Dynamics of a Quantum Phase Transition
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
- Digitized adiabatic quantum computing with a superconducting circuit
- Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- Quantum critical dynamics in a 5000-qubit programmable spin glass
- Quantum quench dynamics
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Quench dynamics near a quantum critical point
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Density of kinks after a quench: When symmetry breaks, how big are the pieces?
- Four-loop critical exponents for the Gross-Neveu-Yukawa models
- Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors
- Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
- Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
- Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
- Emergence of supersymmetry at a critical point of a lattice model
- Non-equilibrium dynamic critical scaling of the quantum Ising chain
- Lattice Models with N=2 Supersymmetry
- Beyond-classical computation in quantum simulation
- Defect formation and local gauge invariance
- Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate
- Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
- Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
- Bootstrapping the Three-Dimensional Supersymmetric Ising Model
- Universal nonequilibrium quantum dynamics in imaginary time
- Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
- Emergence of supersymmetry on the surface of three dimensional topological insulators
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
- Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
- Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
- Emergence of supersymmetric quantum electrodynamics
- Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Superconducting quantum criticality of topological surface states at three loops
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Kibble-Zurek Mechanism and Finite-Time Scaling
- Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
- Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
- Kibble-Zurek scaling in the Yang-Lee edge singularity
- Observation of Emergent Spacetime Supersymmetry at Superconducting Quantum Criticality
- Edge quantum criticality and emergent supersymmetry in topological phases
- Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
- Half-integer quantized topological response in quasiperiodically driven quantum systems
- Dynamics of domain walls in a Bose-Einstein condensate driven by density-dependent gauge field
- Observation of generalized Kibble-Zurek mechanism across a first-order quantum phase transition in a spinor condensate
- Kibble-Zurek mechanism of Ising domains
- A supersymmetric multicritical point in a model of lattice fermions
- Defect Saturation in a Rapidly Quenched Bose Gas
- Theory of Driven Nonequilibrium Critical Phenomena
- Kibble-Zurek behavior in disordered Chern insulators
- Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
- Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in imaginary time
- Microscopic theory of non-adiabatic response in real and imaginary time
- Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
- Quantum criticality using a superconducting quantum processor
- Chiral Ising Gross-Neveu criticality of a single Dirac cone: A quantum Monte Carlo study
- Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
- Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
- Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
- Finite-Scale Emergence of 2+1D Supersymmetry at First-Order Quantum Phase Transition
- Large Deviations Beyond the Kibble-Zurek Mechanism
- Density of Bloch Waves after a Quench
- Driving Driven Lattice Gases to Identify Their Universality Classes
- Validity of SLAC fermions for the (1 + 1)-dimensional helical Luttinger liquid
- Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
- Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
- Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
- Supersymmetry in an interacting Majorana model on the kagome lattice
- Caution on Gross-Neveu criticality with a single Dirac cone: Violation of locality and its consequence of unexpected finite-temperature transition
- Supersymmetries in non-equilibrium Langevin dynamics
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- Tricritical Kibble-Zurek scaling in Rydberg atom ladders
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- Anomalous Dynamical Scaling at Topological Quantum Criticality