Non-Markovian qubit dynamics in nonequilibrium environments
- URL: http://arxiv.org/abs/2008.00640v1
- Date: Mon, 3 Aug 2020 04:44:42 GMT
- Title: Non-Markovian qubit dynamics in nonequilibrium environments
- Authors: Xiangji Cai
- Abstract summary: We study the non-Markovian dynamics of qubit systems coupled to nonequilibrium environments with nonstationary and non-Markovian statistical properties.
We derive the relation between the entanglement and nonlocality of the two qubit system which are both closely associated with the decoherence function.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We theoretically study the non-Markovian dynamics of qubit systems coupled to
nonequilibrium environments with nonstationary and non-Markovian statistical
properties. The reduced density matrix of the single qubit system satisfies a
closed third-order differential equation with all the higher-order
environmental correlations taken into account and the reduced density matrix of
the two qubit system can be expressed as the Kraus representation in terms of
the tensor products of the single qubit Kraus operators. We derive the relation
between the entanglement and nonlocality of the two qubit system which are both
closely associated with the decoherence function. We identify the threshold
values of the decoherence function to ensure the existences of the concurrence
and nonlocal quantum correlations for a given evolution time when the two qubit
system is initially prepared in the composite Bell states and the extended
Werner states, respectively. It is shown that the environmental nonstationary
feature can suppress the decoherence and disentanglement dynamics and can
reduce the coherence and entanglement revivals in non-Markovian dynamics
regime. In addition, it is shown that the environmental non-Markovian feature
can enhance the coherence revivals in the single decoherence dynamics and the
entanglement revivals in the two qubit disentanglement dynamics, respectively.
Furthermore, the environmental nonstationary and non-Markovian features can
enhance the nonlocality of the two qubit system.
Related papers
- Non-Markovian to Markovian decay in structured environments with correlated disorder [0.0]
We consider an atom coupled to an array of cavities in the presence of on-site correlated disorder.
The correlation is long-ranged and associated with the trace of a fractional Brownian motion following a power-law spectrum.
We observe a change from non-Markovian to Markovian decay in the presence of disorder by tuning the correlation parameter.
arXiv Detail & Related papers (2024-11-21T16:56:56Z) - Sustainability of distribution of entanglement in tripartite systems under dephasing environment [0.0]
Reservoir memory offers a means to attenuate the decoherence dynamics impacting multipartite entanglement.
We investigate the distribution of entanglement in tripartite systems for both pure and mixed states.
In the presence of reservoir memory, the sustainability of distribution of entanglement in a tripartite system under dephasing dynamics is significantly enhanced.
arXiv Detail & Related papers (2024-08-19T08:46:37Z) - Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort.
We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits.
In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
arXiv Detail & Related papers (2024-07-31T17:57:14Z) - Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle [49.1574468325115]
We revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings.
Our investigation is based on an exact treatment of non-Markovianity by means of an exact quantum master equation.
arXiv Detail & Related papers (2023-08-18T11:00:32Z) - Non-equilibrium quantum probing through linear response [41.94295877935867]
We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment.
We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
arXiv Detail & Related papers (2023-06-14T13:31:23Z) - Autonomous coherence protection of a two-level system in a fluctuating
environment [68.8204255655161]
We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits)
We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
arXiv Detail & Related papers (2023-02-08T01:44:30Z) - Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling.
In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures.
By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
arXiv Detail & Related papers (2022-02-14T02:23:16Z) - Non-Markovian decoherence of a two-level system in a Lorentzian bosonic
reservoir and a stochastic environment with finite correlation time [0.0]
We investigate non-Markovian evolution of a two-level system (qubit) in a bosonic bath under influence of an external classical environment.
arXiv Detail & Related papers (2020-06-24T21:16:52Z) - Environmentally Induced Entanglement -- Anomalous Behavior in the
Adiabatic Regime [0.0]
In a perturbative regime the influence of the environment on the system dynamics can effectively be described by a unitary contribution.
For resonant qubits, even in the adiabatic regime, the entanglement dynamics is still influenced by an environmentally induced Hamiltonian interaction.
arXiv Detail & Related papers (2020-06-08T08:39:03Z) - Distributing entanglement with separable states: assessment of encoding
and decoding imperfections [55.41644538483948]
Entanglement can be distributed using a carrier which is always separable from the rest of the systems involved.
We consider the effect of incoherent dynamics acting alongside imperfect unitary interactions.
We show that entanglement gain is possible even with substantial unitary errors.
arXiv Detail & Related papers (2020-02-11T15:25:19Z) - Topological Protection and Control of Quantum Markovianity [0.0]
We consider the decoherence dynamics of a qubit weakly coupled to a two-dimensional bath with a nontrivial topological phase.
We show that Markovianity is protected against moderate disorder owing to the robustness of chiral edge modes in the quantum-Hall bath.
arXiv Detail & Related papers (2020-02-11T07:19:06Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.