Fast Route to Thermalization
arXiv:1911.09591 · doi:10.1103/PhysRevA.101.052102
Abstract
We present a control scheme for quantum systems coupled to a thermal bath. We demonstrate state-to-state control between two Gibbs states. This scheme can be used to accelerate thermalization and cool the open system. Starting from a microscopic description, we derive the reduced system dynamics, leading to a non-adiabatic master equation. The equation contains non-trivial effects due to the non-adiabatic driving and bath interaction. These special features enable controlling the open system and accelerating the entropy changes. For a two-level system model, we obtain a general solution and introduce a reverse-engineering scheme for control. The control problem is analyzed in the context of the theory of quantum control and the accompanying thermodynamic cost.
References in corpus (33)
- The maximum speed of dynamical evolution
- Training Schrödinger's cat: quantum optimal control
- A single-atom heat engine
- Roads towards fault-tolerant universal quantum computation
- The quantum harmonic Otto cycle
- Quantum Adiabatic Markovian Master Equations
- Controlling open quantum systems: Tools, achievements, and limitations
- Generalized Geometric Quantum Speed Limits
- Trade-off between speed and cost in shortcuts to adiabaticity
- A spin heat engine coupled to a harmonic-oscillator flywheel
- Cavity-assisted quantum bath engineering
- The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
- Adiabatic approximation in open quantum systems
- Irreversible work and inner friction in quantum thermodynamic processes
- A Discrete Four Stroke Quantum Heat Engine Exploring the Origin of Friction
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Shortcut to Equilibration of an Open Quantum System
- Time Dependent Markovian Quantum Master Equation
- Speeding up and slowing down the relaxation of a qubit by optimal control
- Quantum Signatures in the Quantum Carnot Cycle
- Mimicking a Squeezed Bath Interaction: Quantum Reservoir Engineering with Atoms
- Lie-Semigroup Structures for Reachability and Control of Open Quantum Systems: Viewing Markovian Quantum Channels as Lie Semigroups and GKS-Lindblad Generators as Lie Wedge
- Temperature scaling law for quantum annealing optimizers
- Markovian Quantum Master Equation beyond Adiabatic Regime
- Fault-tolerant quantum computation with asymmetric Bacon-Shor codes
- Speed limits in Liouville space for open quantum systems
- Supremacy of incoherent sudden cycles
- Reservoir Engineering using Quantum Optimal Control for Qubit Reset
- Testing quantum adiabaticity with quench echo
- Time-optimal purification of a qubit in contact with a structured environment
- Vanishing efficiency of speeded-up quantum Otto engines
- Illustrating the Geometry of Coherently Controlled Quantum Channels
- Towards Laser Control of Open Quantum Systems: Memory Effects
Cited by in corpus (24)
- Quantum thermal machines and batteries
- Quantum fluctuations hinder finite-time information erasure near the Landauer limit
- Quantum finite-time thermodynamics: insight from a single qubit engine
- Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
- Power maximization of two-stroke quantum thermal machines
- Quantum thermo-dynamical construction for driven open quantum systems
- Unification of the first law of quantum thermodynamics
- Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls
- Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators
- Inertial Theorem: Overcoming the quantum adiabatic limit
- Dynamical invariant based shortcut to equilibration in open quantum systems
- The driven-Markovian master equation based on the Lewis-Riesenfeld invariants theory
- Partial Landau-Zener transitions and applications to qubit shuttling
- Double-bracket quantum algorithms for quantum imaginary-time evolution
- Reinforcement Learning Approach to Shortcuts between Thermodynamic States with Extra Constraints
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving
- Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives
- Dynamics of a driven open double two-level system and its entanglement generation
- Shortcuts to adiabaticity in open quantum critical systems
- Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
- Optimization of Time-Dependent Decoherence Rates and Coherent Control for a Qutrit System
- Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps
- Invariant-based inverse engineering for balanced displacement of a cart-pole system