Completely positive approximate solutions of driven open quantum systems
arXiv:1409.6184 · doi:10.1103/PhysRevLett.114.130402
Abstract
We define a perturbative approximation for the solution of Lindblad master equations with time-dependent generators that satisfies the fundamental property of complete positivity, as essential for quantum simulations and optimal control. With explicit examples we show that ensuring this property substantially improves the accuracy of the perturbative approximation.
5 pages, 2 figures
References in corpus (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- An Open-System Quantum Simulator with Trapped Ions
- Quantum computation with ions in thermal motion
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Dividing Quantum Channels
- Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
- Effective Hamiltonians for periodically driven systems
- Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
- Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
- Accurate effective Hamiltonians via unitary flow in Floquet space
- Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems
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- Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
- Lindblad-Floquet description of finite-time quantum heat engines
- High-frequency expansions for time-periodic Lindblad generators
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- Markovian and non-Markovian master equations versus an exactly solvable model of a qubit in a cavity
- The Dynamical Invariant of Open Quantum System
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- Periodically Driven Open Quantum Systems: Spectral Properties and Non-Equilibrium Steady States
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- Floquet engineering of molecular dynamics via infrared coupling
- Driving-assisted open quantum transport in qubit networks
- Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
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- A matrix product operator approach to non-equilibrium Floquet steady states
- Effective (Floquet) Lindblad generators from spectral unwinding
- Chiral Instabilities in Driven-Dissipative Quantum Liquids