Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
arXiv:2106.08394 · doi:10.1103/PhysRevD.106.054508
Abstract
We present simulations of non-equilibrium dynamics of quantum field theories on digital quantum computers. As a representative example, we consider the Schwinger model, a 1+1 dimensional U(1) gauge theory, coupled through a Yukawa-type interaction to a thermal environment described by a scalar field theory. We use the Hamiltonian formulation of the Schwinger model discretized on a spatial lattice. With the thermal scalar fields traced out, the Schwinger model can be treated as an open quantum system and its real-time dynamics are governed by a Lindblad equation in the Markovian limit. The interaction with the environment ultimately drives the system to thermal equilibrium. In the quantum Brownian motion limit, the Lindblad equation is related to a field theoretical Caldeira-Leggett equation. By using the Stinespring dilation theorem with ancillary qubits, we perform studies of both the non-equilibrium dynamics and the preparation of a thermal state in the Schwinger model using IBM's simulator and quantum devices. The real-time dynamics of field theories as open quantum systems and the thermal state preparation studied here are relevant for a variety of applications in nuclear and particle physics, quantum information and cosmology.
arXiv comment18 pages, 8 figures; v2: minor change in appendix; v3: minor change; v4: published version
References in corpus (84)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Superconducting Qubits: Current State of Play
- Trapped-Ion Quantum Computing: Progress and Challenges
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Quantum Algorithms for Quantum Field Theories
- Simulating Lattice Gauge Theories within Quantum Technologies
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Cloud Quantum Computing of an Atomic Nucleus
- Efficient Simulation of Quantum Systems by Quantum Computers
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Quantum Metropolis Sampling
- Simulating quantum many-body dynamics on a current digital quantum computer
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- QCD thermalization: Ab initio approaches and interdisciplinary connections
- Thermalization dynamics of a gauge theory on a quantum simulator
- A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
- The problem of equilibration and the computation of correlation functions on a quantum computer
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Digitization of Scalar Fields for Quantum Computing
- Resource Efficient Zero Noise Extrapolation with Identity Insertions
- A quantum algorithm for evolving open quantum dynamics on quantum computing devices
- Heavy quarkonium suppression in a fireball
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
- Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
- Gluon Field Digitization for Quantum Computers
- Real Time Dynamics and Confinement in the Schwinger-Weyl lattice model for 1+1 QED
- Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
- A quantum algorithm for high energy physics simulations
- Simulation of Nonequilibrium Dynamics on a Quantum Computer
- Quantum algorithm for simulating the dynamics of an open quantum system
- Quarkonium In-Medium Transport Equation Derived from First Principles
- Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
- An effective field theory during inflation: reduced density matrix and its quantum master equation
- Quantum Computing for Neutrino-nucleus Scattering
- BQP-completeness of Scattering in Scalar Quantum Field Theory
- Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
- Bottomonium suppression in an open quantum system using the quantum trajectories method
- Deeply inelastic scattering structure functions on a hybrid quantum computer
- Phase Transitions in Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED
- Real-time chiral dynamics from a digital quantum simulation
- Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
- Soft de Sitter Effective Theory
- Capturing Non-Markovian Dynamics on Near-Term Quantum Computers
- Quantum Algorithms for Jet Clustering
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Open Quantum Systems for Quarkonia
- Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
- Quantum Algorithms for Fermionic Quantum Field Theories
- The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
- Optimal Control for the Quantum Simulation of Nuclear Dynamics
- Quantum simulation of open quantum systems in heavy-ion collisions
- A cosmological open quantum system
- Partonic collinear structure by quantum computing
- Quantum algorithms for transport coefficients in gauge theories
- Quarkonium above deconfinement as an open quantum system
- The role of boundary conditions in quantum computations of scattering observables
- Quantum simulation of quantum field theories as quantum chemistry
- Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
- Quantum Simulation of Light-Front Parton Correlators
- Quantum evolution of quarkonia with correlated and uncorrelated noise
- Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing
- Engineered thermalization and cooling of quantum many-body systems
- Towards Dynamic Simulations of Materials on Quantum Computers
- Dark Matter bound-state formation at higher order: a non-equilibrium quantum field theory approach
- Quantum algorithm for Feynman loop integrals
- Real-time dynamics of Chern-Simons fluctuations near a critical point
- Efficient Quantum Algorithms for Simulating Lindblad Evolution
- Transverse Momentum Broadening of a Jet in Quark-Gluon Plasma: An Open Quantum System EFT
- Selected topics of quantum computing for nuclear physics
- Ground States via Spectral Combing on a Quantum Computer
- Jet energy loss and fragmentation in heavy ion collisions
- Non-Markovian open quantum system approach to the early universe: I. Damping of gravitational waves by matter
- The Edge of Jets and Subleading Non-Global Logs
- Quantum Simulation of Field Theories Without State Preparation
- Quantum Algorithms for Open Lattice Field Theory
- A quantum algorithm for the direct estimation of the steady state of open quantum systems
- JIMWLK Evolution, Lindblad Equation and Quantum-Classical Correspondence
- Proper static potential in classical lattice gauge theory at finite T
- Optimal quantum simulation of open quantum systems
- Soft photon production from real-time dynamics of jet fragmentation
Cited by in corpus (52)
- Thermalization dynamics of a gauge theory on a quantum simulator
- Quantum Simulating Nature's Fundamental Fields
- Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
- Real-time non-perturbative dynamics of jet production: quantum entanglement and vacuum modification
- Efficient Fully-Coherent Quantum Signal Processing Algorithms for Real-Time Dynamics Simulation
- Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
- General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
- High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
- Lattice Renormalization of Quantum Simulations
- Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
- Medium induced jet broadening in a quantum computer
- SU(2) Gauge Theory in Dimensions on a Plaquette Chain Obeys the Eigenstate Thermalization Hypothesis
- Variational thermal quantum simulation of the lattice Schwinger model
- Variational Quantum Time Evolution without the Quantum Geometric Tensor
- Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
- Quench dynamics of the Schwinger model via variational quantum algorithms
- Qu8its for Quantum Simulations of Lattice Quantum Chromodynamics
- Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
- Primitive Quantum Gates for an SU(3) Discrete Subgroup:
- Quantum simulation of entanglement and hadronization in jet production: lessons from the massive Schwinger model
- Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
- Quasiparton distributions in massive QED2: Toward quantum computation
- Nuclear scattering via quantum computing
- Efficient and precise quantum simulation of ultra-relativistic quark-nucleus scattering
- Overhead-constrained circuit knitting for variational quantum dynamics
- Quasifragmentation functions in the massive Schwinger model
- Scattering Amplitude from Quantum Computing with Reduction Formula
- Quantum Computing for Energy Correlators
- Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
- Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
- Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
- Randomized measurement protocols for lattice gauge theories
- Emergent Hydrodynamic Mode on SU(2) Plaquette Chains and Quantum Simulation
- Schwinger model on an interval: analytic results and DMRG
- Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
- Real-Time Scattering Processes with Continuous-Variable Quantum Computers
- Deep Quantum Circuit Simulations of Low-Energy Nuclear States
- End-to-end complexity for simulating the Schwinger model on quantum computers
- State preparation of lattice field theories using quantum optimal control
- Quantum computation in fermionic thermal field theories
- Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
- Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
- 3+1 Dimension Schwinger Pair Production with Quantum Computers
- Meson thermalization with a hot medium in the open Schwinger model
- Quantum Dissipative Search via Lindbladians
- Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
- Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers
- Quantum computing of chirality imbalance in SU(2) gauge theory
- Quantum simulation of quantum mechanical system with spatial noncommutativity
- Correcting and extending Trotterized quantum many-body dynamics
- Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
- Partial confinement in a quantum-link simulator