Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements

Abstract

We consider a large quantum system with spins $\frac{1}{2}$ whose dynamics is driven entirely by measurements of the total spin of spin pairs. This gives rise to a dissipative coupling to the environment. When one averages over the measurement results, the corresponding real-time path integral does not suffer from a sign problem. Using an efficient cluster algorithm, we study the real-time evolution of a 2-d Heisenberg antiferromagnet, which is driven to a disordered phase, either by sporadic measurements or by continuous monitoring described by Lindblad evolution.

arXiv comment5 pages, 7 figures

References in corpus (44)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The density-matrix renormalization group
• Efficient classical simulation of slightly entangled quantum computations
• Real time evolution using the density matrix renormalization group
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Cluster Algorithm for Vertex Models
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• Meron-Cluster Solution of Fermion Sign Problems
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• Spectral functions in one-dimensional quantum systems at T>0
• Optical Abelian Lattice Gauge Theories
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis
• Quantum control by von Neumann measurements
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• The fermion bag approach to lattice field theories
• Solution to sign problems in half-filled spin-polarized electronic systems
• Quantum search by measurement
• Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
• Computation by measurements: a unifying picture
• Fermion bags, duality and the three dimensional massless lattice Thirring model
• Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice
• Microscopic theory of non-adiabatic response in real and imaginary time
• Constraint Effective Potential of the Staggered Magnetization in an Antiferromagnet
• Real time evolution at finite temperatures with operator space matrix product states
• Nested Cluster Algorithm for Frustrated Quantum Antiferromagnets

Cited by in corpus (9)

• Measurement-Induced Phase Transition in a Quantum Spin System
• Solution to sign problems in models of interacting fermions and quantum spins
• Dissipative Bose-Einstein condensation in contact with a thermal reservoir
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• Solution to the sign problem in a frustrated quantum impurity model
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation
• Fermion Bag Approach for Massive Thirring Model at Finite Density
• Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation