Non-Markovian dynamics control of spin-1/2 system interacting with magnets

Zhang, Ying-Jie; Wang, Han; Yan, Wu; Man, Zhong‐Xiao; Xia, Yun‐Jie; Fan, Heng

doi:10.1088/1367-2630/ac2c2a

Cited by 3 publications

(5 citation statements)

References 68 publications

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“…In summary, we have four fitting parameters (J 0 , Γ, ω loc , n) for the SDF, whose dependency in terms of the elastic constant k I is shown in figure 2(b). Using this set of fitting parameters, we obtain a chi-squared above ≈ 0.998 compared to the numerical spectral function defined in equation (11), validating our phenomenological model. Now, we have all ingredients to model the NM dynamics of the defect.…”

Section: Spectral Density Functionsupporting

confidence: 68%

“…where J(ω) is the SDF of the system (11) and coth(ℏω/2k B T) = 2n(ω) + 1 is the effective thermal occupancy factor derived from the Bose-Einstein distribution…”

Section: Time-local Pure Dephasing Dynamicsmentioning

confidence: 99%

“…In general, the quantum systems cannot be entirely shielded from the environment, and one must consider the dynamics of open quantum systems. Modeling open quantum systems is a challenging task and an active field of research in condensed matter [11,12], solid-state physics [13,14], and quantum optics [15][16][17]. On the one hand, classical noise may arise from random fluctuations in an external field, such as the stochastic noise from magnetic impurities [10,18,19] or the fluctuations in laser intensity [20].…”

Section: Introductionmentioning

confidence: 99%

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Engineering non-Markovianity from defect-phonon interactions

González¹,

Tancara²,

Dinani

et al. 2023

New J. Phys.

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Understanding defect-phonon interactions in solid-state devices is crucial for improving our current knowledge of quantum platforms. In this work, we develop first-principles calculations for a defect composed of two spin-1/2 particles that interact with phonon modes in a one-dimensional lattice. We follow a bottom-up approach that begins with a dipolar magnetic interaction to ultimately derive the spectral density function and time-local master equation that describes the open dynamics of the defect. We provide theoretical and numerical analysis for the non-Markovian features of the defect-phonon dynamics induced by a pure dephasing channel acting on the Bell basis. Finally, we analyze two measures of non-Markovianity based on the canonical rates and Coherence, shedding more light on the role of the spectral density function and temperature; and envisioning experimental realizations.

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Section: Spectral Density Functionsupporting

confidence: 68%

“…where J(ω) is the SDF of the system (11) and coth(ℏω/2k B T) = 2n(ω) + 1 is the effective thermal occupancy factor derived from the Bose-Einstein distribution…”

Section: Time-local Pure Dephasing Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Engineering non-Markovianity from defect-phonon interactions

González¹,

Tancara²,

Dinani

et al. 2023

New J. Phys.

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“…QSL time and its applications have been extensively studied experimentally and theoretically [16][17][18][19][20]. Moreover, QSL time plays a particularly important role in the development of quantum information protection and quantum optimal theory as well [21][22][23][24]. In recent years, there has been a particular focus on utilizing the advantages of QSL time in quantum batteries [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Quantum speedup and non-Markovianity of an atom in structured reservoirs: pseudomodes as a good description of environmental memory

Hadipour,

Haseli,

Haddadi

2024

Commun. Theor. Phys.

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Following the recent paper [Teittinen et al., \href{https://doi.org/10.1088/1367-2630/ab59fe}{New J. Phys. \textbf{21}, 123041 (2019)}], one can see that in general there is no simple relation between non-Markovianity and quantum speed limit.Here, we investigate the connection between quantum speed limit time and non-Markovianity of an atom in structured environments (reservoirs) whose dynamics is governed by an exact pseudomode master equation [B. M. Garraway, \href{https://doi.org/10.1103/PhysRevA.55.2290}{Phys. Rev. A. \textbf{55}, 2290 (1997)}]. In particular, we find an inverse relation between them, which means that the non-Markovian feature of the quantum process leads to speedup of evolution. Thus, there is a link between quantum speedup and memory effects for specific cases of dynamical evolution. Our results might shed light on the relationship between the speedup of quantum evolution and the backflow of information from the environment to the system.

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“…Based on the in-depth experimental and theoretical studies of QSL time, the practical applications can be expected in quantum computation and transport [16][17][18][19][20]. It is important for the development of protecting quantum information and quantum optimal theory [21][22][23][24]. Particularly, the advantages of QSL have been exploited in the field of quantum battery [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Lan

Xie

2022

New J. Phys.

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We study theoretically the geometric quantum speed limits (QSLs) of open quantum systems under Markovian dynamical evolution. Three types of QSL time bounds are introduced based on the geometric inequality associated with the dynamical evolution from an initial state to a final state. By illustrating three types of QSL bounds at the cases of presence or absence of system driving, we demonstrate that the unitary part, dominated by system Hamiltonian, supplies the internal motivation for a Markovian evolution which deviates from its geodesic. Specifically, in the case of unsaturated QSL bounds, the parameters of the system Hamiltonian serve as the eigen-frequency of the oscillations of geodesic distance in the time domain and, on the other hand, drive a further evolution of an open quantum system in a given time period due to its significant contribution in dynamical speedup. We present physical pictures of both saturated and unsaturated QSLs of Markovian dynamics by means of the dynamical evolution trajectories in the Bloch sphere which demonstrates the significant role of system Hamiltonian even in the case of initial mixed states. It is further indicated that whether the QSL bound is saturated is ruled by the coummutator between the Hamiltonian and reduced density matrix of the quantum system. Our study provides a detailed description of QSL times and reveals the effects of system Hamiltonian on the unsaturation of QSL bounds under Markovian evolution.

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Non-Markovian dynamics control of spin-1/2 system interacting with magnets

Cited by 3 publications

References 68 publications

Engineering non-Markovianity from defect-phonon interactions

Engineering non-Markovianity from defect-phonon interactions

Quantum speedup and non-Markovianity of an atom in structured reservoirs: pseudomodes as a good description of environmental memory

Geometric quantum speed limits for Markovian dynamics in open quantum systems

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