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We develop a theoretical model for transverse dynamics of a single electron spin interacting with a nuclear spin bath. The approach allows a simple diagrammatic representation and analytical expressions of different nuclear spin excitation…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 S. K. Saikin , Wang Yao , L. J. Sham

We develop a mathematical description of the decoherence caused by "spin baths", such as nuclear spins or magnetic impurities. In contrast to the usual oscillator bath models of quantum environments, decoherence in the spin bath can occur…

Condensed Matter · Physics 2007-05-23 N. V. Prokof'ev , P. C. E. Stamp

Control of decoherence in open quantum systems has become a topic of great interest due to the emergence of quantum technologies that depend on quantum coherent effects. In this work, we investigate the decoherence dynamics of systems…

Quantum Physics · Physics 2025-04-04 Jitian Chen , Jakub Garwoła , Dvira Segal

The clock transitions (CTs) of central spins have long coherence times because their frequency fluctuations vanish in the linear order of external field noise (such as Overhauser fields from nuclear spin baths). Therefore, CTs are useful…

Quantum Physics · Physics 2021-01-04 Geng-Li Zhang , Wen-Long Ma , Ren-Bao Liu

Dynamical decoupling (DD) and bath engineering are two parallel techniques employed to mitigate qubit decoherence resulting from their unavoidable coupling to the environment. Here, we present a hybrid DD approach that integrates pulsed DD…

Quantum Physics · Physics 2026-03-04 Qi Yao , Jun Zhang , Wenxian Zhang , Chaohong Lee

The dynamics of a dimer coupled to two different environments each in a spin star configuration under the influence of decoherence is studied. The exact analytical expression for the transition probability in the dimer system is obtained…

Quantum Physics · Physics 2014-01-15 I. Sinayskiy , A. Marais , F. Petruccione , A. Ekert

We present an exact master equation for a central spin-$1/2$ system coupled to a spin-$1/2$ bath in terms of hyperfine interaction, which provides a unified formalism for both free evolution and controlled dynamics of the central spin. The…

Quantum Physics · Physics 2016-01-28 Jun Jing , Lian-Ao Wu

Maintaining coherence of a qubit is of vital importance for realizing a large-scale quantum computer in practice. In this work, we study the central spin decoherence problem in the $XXX$ central spin model (CSM) and focus on the quantum…

Quantum Physics · Physics 2020-11-10 Qing-Kun Wan , Hai-Long Shi , Xu Zhou , Xiao-Hui Wang , Wen-Li Yang

We study the decoherence of two coupled spins that interact with a chaotic spin-bath environment. It is shown that connectivity of spins in the bath is of crucial importance for the decoherence of the central system. The previously found…

Other Condensed Matter · Physics 2007-07-18 Shengjun Yuan , Mikhail I. Katsnelson , Hans De Raedt

We present a cluster expansion method for approximating quantum spin-bath dynamics in terms of a classical Gaussian stochastic process. The cluster expansion produces the two-point correlation function of the approximate classical bath,…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Wayne M. Witzel , Kevin Young , Sankar Das Sarma

We introduce an exactly solvable model to study decoherence of a central spin interacting with a spin bath where the coupling is mediated by phonons which we assume to be in a coherent state or thermal distribution. For the coherent state…

Quantum Physics · Physics 2010-12-02 O. Bozat , Z. Gedik

The decoherence of mixed electron-nuclear spin qubits is a topic of great current importance, but understanding is still lacking: while important decoherence mechanisms for spin qubits arise from quantum spin bath environments with slow…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 S. J. Balian , Gary Wolfowicz , John J. L. Morton , T. S. Monteiro

The nitrogen-vacancy (NV) centre, as a promising candidate solid state system of quantum information processing, its electron spin coherence is influenced by the magnetic field fluctuations due to the local environment. In pure diamonds,…

Mesoscale and Nanoscale Physics · Physics 2011-04-08 Nan Zhao , Jian-Liang Hu , Sai-Wah Ho , Tsz-Kai Wen , R. B. Liu

By efficient nanoscale plasma etching, the nitrogen-vacancy (NV) centers in diamond were brought to the sample surface step by step successfully. At each depth, we used the relative ratios of spin coherence times before and after applying…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Wenlong Zhang , Jian Zhang , Junfeng Wang , Fupan Feng , Shengran Lin , Liren Lou , Wei Zhu , Guanzhong Wang

We solve the long-standing central spin problem for a general set of inhomogeneous bath couplings and a large class of initial bath states. We compute the time evolution of the coherence of a central spin coupled to a spin bath by resumming…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 Edwin Barnes , Łukasz Cywiński , S. Das Sarma

We experimentally demonstrate that the decoherence of a spin by a spin bath can be completely eliminated by fully polarizing the spin bath. We use electron paramagnetic resonance at 240 gigahertz and 8 Tesla to study the spin coherence time…

Quantum Physics · Physics 2009-11-13 Susumu Takahashi , Ronald Hanson , Johan van Tol , Mark S. Sherwin , David D. Awschalom

We solve for the decoherence dynamics of two models in which a simple qubit or Central Spin couples to a bath of spins; the bath is made from a chain of spins. In model 1, the bath spins are Ising spins; in Model 2, they are coupled by…

Quantum Physics · Physics 2024-05-08 P. C. E. Stamp Zhen Zhu

We study the reduced dynamics of interacting spins, each coupled to its own bath of bosons. We derive the solution in analytic form in the white-noise limit and analyze the rich behaviors in diverse limits ranging from weak coupling and/or…

Quantum Physics · Physics 2008-07-16 P. Nägele , G. Campagnano , U. Weiss

We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We…

We show that the coherence of an electron spin interacting with a bath of nuclear spins can exhibit a well-defined purely exponential decay for special (`narrowed') bath initial conditions in the presence of a strong applied magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2008-04-07 W. A. Coish , Jan Fischer , Daniel Loss