Probing the dynamical phase transition with a superconducting quantum simulator

Abstract

Non-equilibrium quantum many-body systems, which are difficult to study via classical computation, have attracted wide interest. Quantum simulation can provide insights into these problems. Here, using a programmable quantum simulator with 16 all-to-all connected superconducting qubits, we investigate the dynamical phase transition in the Lipkin-Meshkov-Glick model with a quenched transverse field. Clear signatures of the dynamical phase transition, merging different concepts of dynamical criticality, are observed by measuring the non-equilibrium order parameter, nonlocal correlations, and the Loschmidt echo. Moreover, near the dynamical critical point, we obtain the optimal spin squeezing of $-7.0\pm 0.8$ decibels, showing multipartite entanglement useful for measurements with precision five-fold beyond the standard quantum limit. Based on the capability of entangling qubits simultaneously and the accurate single-shot readout of multi-qubit states, this superconducting quantum simulator can be used to study other problems in non-equilibrium quantum many-body systems.

13 pages, 13 figures

References in corpus (28)

• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Simulation
• Probing many-body dynamics on a 51-atom quantum simulator
• Many-body localization, thermalization, and entanglement
• Quantum metrology with nonclassical states of atomic ensembles
• Quantum many-body systems out of equilibrium
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Many-particle entanglement with Bose--Einstein condensates
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Quantum spin squeezing
• Discrete time crystals: rigidity, criticality, and realizations
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Spectral signatures of many-body localization with interacting photons
• 10-qubit entanglement and parallel logic operations with a superconducting circuit
• Quantum Superposition States of Bose-Einstein Condensates
• Observation of a dynamical topological phase transition
• Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
• A Dissipatively Stabilized Mott Insulator of Photons
• Ergodic dynamics and thermalization in an isolated quantum system
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Emulating many-body localization with a superconducting quantum processor
• Dynamical phase diagram of spin chains with long-range interactions
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• Quantum critical metrology
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
• Dynamical criticality and domain-wall coupling in long-range Hamiltonians
• Fully-connected network of superconducting qubits in a cavity

Cited by in corpus (79)

• Noisy intermediate-scale quantum computers
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Observation of a superradiant phase transition with emergent cat states
• Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
• Qubit regularization of asymptotic freedom
• Hamiltonian engineering of spin-orbit coupled fermions in a Wannier-Stark optical lattice clock
• Metrological characterisation of non-Gaussian entangled states of superconducting qubits
• Observation of Bloch Oscillations and Wannier-Stark Localization on a Superconducting Processor
• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Determination of dynamical quantum phase transitions in strongly correlated many-body systems using Loschmidt cumulants
• Collective effects on the performance and stability of quantum heat engines
• Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit
• Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
• Classical and Quantum Evolution in a Simple Coherent Neutrino Problem
• Long-range connectivity in a superconducting quantum processor using a ring resonator
• Perturbative quantum simulation
• Observation of higher-order topological states on a quantum computer
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• Stark many-body localization transitions in superconducting circuits
• Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
• Excited-state quantum phase transitions in spin-orbit coupled Bose gases
• Simulation of complex dynamics of mean-field $p$-spin models using measurement-based quantum feedback control
• Anomalous correlation-induced dynamical phase transitions
• Scaling of energy and power in a large quantum battery-charger model
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Dynamical quantum phase transitions following a noisy quench
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Quantum spin fluctuations in dynamical quantum phase transitions
• Heisenberg-limited spin squeezing in coupled spin systems
• Simulation of Dynamical Quantum Phase Transition of the 1D Transverse Ising Model with a Double-chain Bose-Hubbard model
• Probing spin hydrodynamics on a superconducting quantum simulator
• Quantum information scrambling in the presence of weak and strong thermalization
• Quantum dynamics of disordered arrays of interacting superconducting qubits: signatures of quantum collective states
• Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Experimental observation of spontaneous symmetry breaking in a quantum phase transition
• Quantum Physics in Connected Worlds
• Low-temperature environments for quantum computation and quantum simulation
• Quantum optimization within lattice gauge theory model on a quantum simulator
• Variational generation of spin squeezing on one-dimensional quantum devices with nearest-neighbor interactions
• The Thermodynamic Limit of Spin Systems on Random Graphs
• Measurement of the order parameter and its spatial fluctuations across Bose-Einstein condensation
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• Stable interaction-induced Anderson-like localization embedded in standing waves
• Compact inductor-capacitor resonators at sub-gigahertz frequencies
• Qubit-assisted quantum metrology under a time-reversal strategy
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• Critical quantum metrology robust against dissipation and non-adiabaticity
• Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• The time crystal phase emerges from the qubit network under unitary random operations
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• Control and readout of a transmon using a compact superconducting resonator
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Microwave Engineering of Tunable Spin Interactions with Superconducting Qubits
• Achieving the Heisenberg limit of metrology via measurement on an ancillary qubit
• Quantum simulations of complex systems
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions
• Non-equilibrium critical scaling and universality in a quantum simulator
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Quantum Transport Protected by Acceleration From Nonadiabaticity and Dissipation
• Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine
• Peratic Phase Transition by Bulk-to-Surface Response
• A graphene edge-mediated quantum gate
• From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
• Protecting spin squeezing from decoherence
• Proposal for an autonomous quantum heat engine
• Observation of strong and weak thermalization in a superconducting quantum processor
• Transfer of quantum-enhanced information through a many-body system
• Observation of universal non-Gaussian statistics of the order parameter across a continuous phase transition
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions