Non-Markovian steady states of a driven two-level system
arXiv:2102.11140 · doi:10.1103/PhysRevLett.128.083603
Abstract
We show that an open quantum system in a non-Markovian environment can reach steady states that it cannot reach in a Markovian environment. As these steady states are unique for the non-Markovian regime, they could offer a simple way of detecting non-Markovianity, as no information about the system's transient dynamics is necessary. In particular, we study a driven two-level system (TLS) in a semi-infinite waveguide. Once the waveguide has been traced out, the TLS sees an environment with a distinct memory time. The memory time enters the equations as a time delay that can be varied to compare a Markovian to a non-Markovian environment. We find that some non-Markovian states show exotic behaviors such as population inversion and steady-state coherence beyond , neither of which is possible for a driven TLS in the Markovian regime, where the time delay is neglected. Additionally, we show how the coherence of quantum interference is affected by time delays in a driven system by extracting the effective Purcell-modified decay rate of a TLS in front of a mirror.
arXiv comment6 pages, 5 figures
References in corpus (47)
- The density-matrix renormalization group in the age of matrix product states
- Efficient classical simulation of slightly entangled quantum computations
- Efficient simulation of one-dimensional quantum many-body systems
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
- An Area Law for One Dimensional Quantum Systems
- Entanglement and non-Markovianity of quantum evolutions
- Matrix product states represent ground states faithfully
- Assessing non-Markovian dynamics
- Classical simulation of quantum many-body systems with a tree tensor network
- Decoherence-free interaction between giant atoms in waveguide QED
- Waveguide Quantum Electrodynamics with Giant Superconducting Artificial Atoms
- Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
- Nonexponential decay of a giant artificial atom
- Photonic Quantum Circuits with Time Delays
- The giant acoustic atom -- a single quantum system with a deterministic time delay
- Laser driven atoms in half-cavities
- Markovian and non-Markovian dynamics in quantum and classical systems
- Optimal state pairs for non-Markovian quantum dynamics
- Engineering the Level Structure of a Giant Artificial Atom in Waveguide Quantum Electrodynamics
- Oscillating bound states for a giant atom
- Photonic tensor networks produced by a single quantum emitter
- Probing the quantum vacuum with an artificial atom in front of a mirror
- Dynamics of spontaneous emission in a single-end photonic waveguide
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Comparing different non-Markovianity measures: A case study
- An alternative non-Markovianity measure by divisibility of dynamical map
- Non-Markovianity of a quantum emitter in front of a mirror
- Local Detection of Quantum Correlations with a Single Trapped Ion
- Large collective Lamb shift of two distant superconducting artificial atoms
- Photon correlation vs interference of single-atom fluorescence in a half-cavity
- Vacuum-field level shifts in a single trapped ion mediated by a single distant mirror
- Non-Markovian dynamics of a damped driven two-state system
- Atom-only descriptions of the driven-dissipative Dicke model
- Non-Markovian dephasing and depolarizing channels
- Reflective amplification without population inversion from a strongly driven superconducting qubit
- Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide
- Characterizing decoherence rates of a superconducting qubit by direct microwave scattering
- Quantum dephasing induced by non-Markovian random telegraph noise
- Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics
- Two-step procedure to discriminate discordant from classical correlated or factorized states
- Spontaneous emission of an atom in front of a mirror
- Quantum memory with a single two-level atom in a half cavity
- Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
- A semiclassical analysis of dark state transient dynamics in waveguide circuit QED