Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
arXiv:2003.09774 · doi:10.1088/1402-4896/aba2b5
Abstract
We study the non-Markovianity and quantum speedup of a two-level atom (quantum system of interest) in a dissipative Jaynes-Cumming model, where the atom is embedded in a single-mode cavity, which is leaky being coupled to an external reservoir with Ohmic spectral density. We obtain the non-Markovianity characterized by using the probability of the atomic excited state and the negative decoherence rate in the time-local master equation. We also calculate the quantum speed limit time (QSLT) of the evolution process of the atom. The results show that, the atom-cavity coupling is the main physical reasons of the transition from Markovian to non-Markovian dynamics and the transition from no speedup to speedup process, and the critical value of this sudden transition only depends on the Ohmicity parameter. The atom-cavity coupling and the appropriate reservoir parameters can effectively improve the non-Markovianity in the dynamics process and speed up the evolution of the atom. Moreover, the initial non-Markovian dynamics first turns into Markovian and then back to non-Markovian with increasing the atom-cavity coupling under certain condition. Finally, the physical interpretation is provided.
arXiv admin note: text overlap with arXiv:1911.04839
References in corpus (45)
- Quantifying Coherence
- Quantum metrology
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Atomic physics and quantum optics using superconducting circuits
- Ultimate physical limits to computation
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- The maximum speed of dynamical evolution
- Assessing non-Markovian dynamics
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Canonical form of master equations and characterization of non-Markovianity
- Geometrical characterization of non-Markovianity
- Quantum-memory-assisted entropic uncertainty principle, teleportation and entanglement witness in structured reservoirs
- Geometric derivation of the quantum speed limit
- Quantum speed limit for arbitrary initial states
- Cavity-based architecture to preserve quantum coherence and entanglement
- Quantum speedup in a memory environment
- Tightening Quantum Speed Limits for Almost All States
- Microscopic derivation of the Jaynes-Cummings model with cavity losses
- Non-Markovianity and negative entropy production rates
- Non-Markovianity and System-Environment Correlations in a microscopic collision model
- Harnessing non-Markovian quantum memory by environmental coupling
- Classical-driving-assisted quantum speed-up
- Mechanism for quantum speedup in open quantum systems
- Characterizing non-Markovianity via quantum interferometric power
- Equivalence of the measures of non-Markovianty for open two-level systems
- Light-shift-induced quantum gates for ions in thermal motion
- Quantum Speed Limit Bounds in an Open Quantum Evolution
- Quantum probes for the cutoff frequency of Ohmic environments
- Comment on "Geometric derivation of the quantum speed limit"
- Protecting entanglement by adjusting the velocities of moving qubits inside non-Markovian environments
- Quantum speed limit for a mixed initial state
- Measuring and using non-markovianity
- Coherent control of an effective two-level system in a non-Markovian biomolecular environment
- Role of non-Markovianity and backflow of information in the speed of quantum evolution
- Hierarchical environment-assisted dynamical speedup control
- Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments
- Driving-induced amplification of non-Markovianity in open quantum systems evolution
- Quantumness and memory of one qubit in a dissipative cavity under classical control
- Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
- Quantum speedup, non-Markovianity and formation of bound state
- Quantum non-Markovianity and localization
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- Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
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- Modulating quantum evolution of moving-qubit by using classical driving