Revisiting the quantum open system dynamics of central spin model
- URL: http://arxiv.org/abs/2109.05775v1
- Date: Mon, 13 Sep 2021 08:47:22 GMT
- Title: Revisiting the quantum open system dynamics of central spin model
- Authors: Samyadeb Bhattacharya and Subhashish Banerjee
- Abstract summary: We revisit the theory of open quantum systems from the perspective of fermionic baths.
We have calculated the exact reduced dynamics of the central spin and constructed the Kraus operators in relation to that.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this article we revisit the theory of open quantum systems from the
perspective of fermionic baths. Specifically, we concentrate on the dynamics of
a central spin half particle interacting with a spin bath. We have calculated
the exact reduced dynamics of the central spin and constructed the Kraus
operators in relation to that. Further, the exact Lindblad type cannonical
master equation corresponding to the reduced dynamics is constructed. We have
also briefly touch upon the aspect of non-Markovianity from the backdrop of the
reduced dynamics of the central spin.
Related papers
- Strong coupling non-Markovian quantum thermodynamics using exact dynamics of a central spin surrounded by a spin bath and the role of a canonical Hamiltonian [0.0]
A non-trivial, non-Markovian model of a central spin surrounded by a spin bath is taken up.
The fundamental quantum thermodynamic quantities are calculated using the dynamics and original system (bath) Hamiltonian.
arXiv Detail & Related papers (2024-04-24T15:09:01Z) - Spin squeezing generated by the anisotropic central spin model [0.28101605533398166]
We investigate the spin squeezing and the quantum phase transition in an anisotropic central spin system.
We find that this kind of central spin systems can be mapped to the anisotropic Lipkin-Meshkov-Glick model in the limit where the ratio of transition between the central spin and the spin bath tends towards infinity.
This work offers a promising scheme for generating spin-squeezed state and paves the way for potential advancements in quantum sensing.
arXiv Detail & Related papers (2023-11-19T12:11:56Z) - Non-Gaussian dynamics of quantum fluctuations and mean-field limit in
open quantum central spin systems [0.0]
Central spin systems are paradigmatic models for nitrogen-vacancy centers and quantum dots.
Here, we derive exact results on the emergent behavior of open quantum central spin systems.
Our findings may become relevant for developing fully quantum descriptions of many-body solid-state devices.
arXiv Detail & Related papers (2023-05-24T20:23:31Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Sufficient condition for gapless spin-boson Lindbladians, and its
connection to dissipative time-crystals [64.76138964691705]
We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems.
We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
arXiv Detail & Related papers (2022-09-26T18:34:59Z) - Probing dynamics of a two-dimensional dipolar spin ensemble using single
qubit sensor [62.997667081978825]
We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal.
We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder.
Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
arXiv Detail & Related papers (2022-07-21T18:00:17Z) - Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase.
An initial state made by a local excitation of the paramagnetic ground state is considered.
A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
arXiv Detail & Related papers (2022-07-14T10:05:20Z) - Spin-spin coupling-based quantum and classical phase transitions in
two-impurity spin-boson models [55.41644538483948]
Two-interacting-impurity spin-boson models with vanishing transverse fields on the spin-pair are studied.
The dynamics of the magnetization is analysed for different levels of (an)isotropy.
arXiv Detail & Related papers (2022-05-19T08:01:03Z) - Dynamics of two central spins immersed in spin baths [4.057537590633553]
We derive the dynamics of a two qubit (spin 1/2) system interacting centrally with separate fermionic baths composed of qubits in thermal state.
We observe the evolution of quantum correlations like entanglement and discord under the influence of the environmental interaction.
This work is a stepping stone towards the realization of non-Markovian heat engines and other quantum thermal devices.
arXiv Detail & Related papers (2022-05-09T09:09:36Z) - Relaxation of antiferromagnetic order and growth of R\'enyi entropy in a
generalized Heisenberg star [7.057937612386993]
We study the dynamics of a generalized Heisenberg star consisting of a spin-$S$ central spin and an inhomogeneously coupled XXZ chain of 16$ bath spins.
By preparing the XXZ bath in a N'eel state, we find that in the gapless phase of the bath even weak system-bath coupling could lead to nearly perfect relaxation of the antiferromagnetic order.
arXiv Detail & Related papers (2021-08-16T12:47:47Z) - Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic
quantum walk [52.77024349608834]
We realize a photonic quantum walk in the presence of a synthetic gauge field.
We investigate intriguing system dynamics characterized by the interplay between Bloch oscillations and Landau-Zener transitions.
arXiv Detail & Related papers (2020-11-11T16:35:41Z)
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.