Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
arXiv:1007.2857 · doi:10.1103/PhysRevB.82.144423
Abstract
We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a subohmic bath using a combination of bosonic numerical renormalization group (NRG), analytical techniques and intuitive arguments. Second, employing the time-dependent NRG we investigate the system's rich dynamical behavior arising from the complex interplay between spin-spin and spin-bath interactions. Interestingly, spin oscillations can synchronize due to the proximity of the common non-Markovian bath and the system displays highly entangled steady states for certain nonequilibrium initial preparations. We complement our non-perturbative numerical results by exact analytical solutions when available and provide quantitative limits on the applicability of the perturbative Bloch-Redfield approach at weak coupling.
21 pages, 18 figures
References in corpus (53)
- Mixed State Entanglement and Quantum Error Correction
- Decoherence, einselection, and the quantum origins of the classical
- Quantum state engineering with Josephson-junction devices
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- The numerical renormalization group method for quantum impurity systems
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Creation of Entanglement by Interaction with a Common Heat Bath
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Environment Induced Entanglement in Markovian Dissipative Dynamics
- Quantum emitters coupled to surface plasmons of a nano-wire: A Green function approach
- Reducing decoherence in quantum computer memory with all quantum bits coupling to the same environment
- Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
- Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
- Atomic quantum dots coupled to BEC reservoirs
- Classical critical behavior of spin models with long-range interactions
- Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- Impurity Quantum Phase Transitions
- The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
- Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
- Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
- Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
- Mesoscopic Spin-Boson Models of Trapped Ions
- Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
- Transient dynamics of the Anderson impurity model out of equilibrium
- Decoherence and gate performance of coupled solid state qubits
- Sparse polynomial space approach to dissipative quantum systems: Application to the sub-ohmic spin-boson model
- Entanglement between a qubit and the environment in the spin-boson model
- Landau Zener transitions in a dissipative environment: Numerically exact results
- Entanglement and Criticality in Quantum Impurity Systems
- Relation between Barrier Conductance and Coulomb Blockade Peak Splitting for Tunnel-Coupled Quantum Dots
- Critical local-moment fluctuations, anomalous exponents, and omega/T scaling in the Kondo problem with a pseudogap
- Entanglement between charge qubits induced by a common dissipative environment
- Ultraslow quantum dynamics in a sub-Ohmic heat bath
- TUNNELING SPECTROSCOPY OF QUANTUM CHARGE FLUCTUATIONS IN THE COULOMB BLOCKADE
- Dissipative Quantum Ising model in a cold atomic spin-boson mixture
- Universal and measurable entanglement entropy in the spin-boson model
- Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring
- Distance dependence of entanglement generation via a bosonic heat bath
- Quantum phase transition of Ising-coupled Kondo impurities
- Universality in dissipative Landau-Zener transitions
- The mass-flow error in the Numerical Renormalization Group method and the critical behavior of the sub-ohmic spin-boson model
- Collinear Four-Wave Mixing of Two-Component Matter Waves
- Hidden Caldeira-Leggett dissipation in a Bose-Fermi Kondo model
- Separation-dependent localization in a two-impurity spin-boson model
- Entanglement and Quantum Noise Due to a Thermal Bosonic Field
- Quantum Criticality out of Equilibrium: Steady State in a Magnetic Single-Electron Transistor
- Dynamics of a Pair of Interacting Spins Coupled to an Environmental Sea
- Dissipative Two-Electron Transfer
- Density matrix renormalization group study of a quantum impurity model with Landau-Zener time-dependent Hamiltonian
- Decoherence and Entanglement Dynamics of Coupled Qubits
- Dynamics of coupled spins in the white- and quantum-noise regime
Cited by in corpus (68)
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
- Nonequilibrium and nonperturbative dynamics of ultrastrong coupling in open lines
- Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Photon mediated interaction between distant quantum dot circuits
- Spontaneous synchronization and quantum correlation dynamics of open spin systems
- Critical Velocity and Dissipation of an ultracold Bose-Fermi Counterflow
- Non-perturbative stochastic method for driven spin-boson model
- Weak and ultrastrong coupling limits of the quantum mean force Gibbs state
- Quantum synchronization in dimer atomic lattices
- Probing the spectral density of a dissipative qubit via quantum synchronization
- Driven dissipative dynamics and topology of quantum impurity systems
- Quantum correlations and synchronization measures
- Quantum synchronization in a collision model
- Quantum Dynamics of the Driven and Dissipative Rabi Model
- Quantum synchronization of few-body systems under collective dissipation
- Complex Quantum Networks: a Topical Review
- Oscillatory dynamics and non-markovian memory in dissipative quantum systems
- Synchronization and Non-Markovianity in open quantum systems
- Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
- Measure synchronization in quantum many-body systems
- Universal post-quench coarsening and quantum aging at a quantum critical point
- Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
- Quantum phase transition in an array of coupled dissipative cavities
- The quantum phase transition and correlations in the multi-spin-boson model
- The quench dynamics of a dissipative quantum system: a renormalization group study
- Dissipative dynamics of a driven quantum spin coupled to a bath of ultracold fermions
- Spontaneous emission of Schrödinger cats in a waveguide at ultrastrong coupling
- Hybrid synchronization in coupled ultracold atomic gases
- Enhanced Quantum Synchronization via Quantum Machine Learning
- Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
- Transient dynamics of open quantum systems
- Time Evolution of ML-MCTDH Wavefunctions II: Application of the Projector Splitting Integrator
- Synchronization of persistent oscillations in spin systems with non-local dissipations
- Variational study of two-impurity spin-boson model with a common Ohmic bath: Ground-state phase transitions
- Quantum Phase Transition of Many Interacting Spins Coupled to a Bosonic Bath: static and dynamical properties
- Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
- Pairing Correlations Near a Kondo-Destruction Quantum Critical Point
- Quantum chimera states
- Dynamics of a Qubit in a High-Impedance Transmission Line from a Bath Perspective
- The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
- Effect of bath temperature on the decoherence of quantum dissipative systems
- Quench-induced dynamical phase transitions and -synchronization in the Bose-Hubbard Model
- Bath-induced interactions and transient dynamics in open quantum systems at strong coupling: Effective Hamiltonian approach
- Exact dynamics of interacting qubits in a thermal environment: Results beyond the weak coupling limit
- Machine learning applied to quantum synchronization-assisted probing
- Classical-driving-assisted quantum synchronization in non-Markovian environments
- Non-equilibrium quantum transport through a dissipative resonant level
- Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
- Efficient choice of coloured noises in stochastic dynamics of open quantum systems
- Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
- Quantum tricritical point emerging in the spin-boson model with two dissipative spins in staggered biases
- Fast quantum state preparation and bath dynamics using non-Gaussian variational ansatz and quantum optimal control
- Environmentally Induced Entanglement -- Anomalous Behavior in the Adiabatic Regime
- Driving Spin-Boson Models From Equilibrium Using Exact Quantum Dynamics
- Quantum criticality of the Ohmic spin-boson model in a high dense spectrum: symmetries,quantum fluctuations and correlations
- Dicke Phase Transition in a Disordered Emitter-Graphene Plasmon System
- Quantum loss of synchronization in the dynamics of two spins
- The dissipative phase transition in a pair of coupled noisy two-level systems
- Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions
- Predicting the Onset of Quantum Synchronization Using Machine Learning
- Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
- Exactly Thermalised Quantum Dynamics of the Spin-Boson Model coupled to a Dissipative Environment
- Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
- Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
- Distance-dependent emission spectrum from two qubits in a strong-coupling regime
- Environment-Mediated Long-Ranged Correlations in Many-Body System