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The study of coherence dynamics in open quantum systems, specifically addressing various physical realizations of quantum systems and environments, is a long-standing and central pillar of quantum science and technology. As such, a large…

Quantum Physics · Physics 2024-09-20 Kevin Ben Attar , Nir Bar-Gill

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

We present a combination of analytic calculations and a powerful numerical method for large spin baths in the low-field limit. The hyperfine interaction between the central spin and the bath is fully captured by the density matrix…

Mesoscale and Nanoscale Physics · Physics 2013-10-10 Daniel Stanek , Carsten Raas , Götz S. Uhrig

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

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

We study the decoherence of a central spin 1/2 induced by a spin bath with intrabath interactions. Since we are interested in the cumulative effect of interaction and disorder, we study baths comprising Ising spins with random ferro- and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Camalet , R. Chitra

Decoherence of a central spin coupled to an interacting spin bath via inhomogeneous Heisenberg coupling is studied by two different approaches, namely an exact equations of motion (EOMs) method and a Chebyshev expansion technique (CET). By…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Ning Wu , Nina Fröhling , Xi Xing , Johannes Hackmann , Arun Nanduri , Frithjof B. Anders , Herschel Rabitz

Understanding and mitigating decoherence is a key challenge for quantum science and technology. The main source of decoherence for solid-state spin systems is the uncontrolled spin bath environment. Here, we demonstrate quantum control of a…

Quantum Physics · Physics 2012-05-17 G. de Lange , T. van der Sar , M. S. Blok , Z. H. Wang , V. V. Dobrovitski , R. Hanson

We consider here the problem of a "central spin", with spin quantum number $S \gg 1$, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes magnetic grains or magnetic…

Condensed Matter · Physics 2016-08-31 N. V. Prokof'ev , P. C. E. Stamp

On the basis of a lemma designed to decide whether a discrete system decoheres or not with no need of computer simulations, in this paper we analyze the well-known spin-bath model. The lemma allows us to predict the decoherence of the…

Quantum Physics · Physics 2010-10-18 Sebastian Fortin , Olimpia Lombardi

We investigate the time dependence of correlation functions in the central spin model, which describes the electron or hole spin confined in a quantum dot, interacting with a bath of nuclear spins forming the Overhauser field. For large…

Mesoscale and Nanoscale Physics · Physics 2017-08-15 Benedikt Fauseweh , Philipp Schering , Jan Hüdepohl , Götz S. Uhrig

We calculate exactly the time-dependent reduced density matrix for the central spin in the central-spin model with homogeneous Heisenberg couplings. Therefrom, the dynamics and the entanglement entropy of the central spin are obtained. A…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Joachim Stolze

We study decoherence induced on a two-level system coupled to a one-dimensional quantum spin chain. We consider the cases where the dynamics of the chain is determined by the Ising, XY, or Heisenberg exchange Hamiltonian. This model of…

In this paper, we investigate the decoherence of qubit due to its coupling to a Hermitian or a non-Hermitian bath within the pure dephasing spin-boson model. First, using this model, we analytically establish the previously anticipated…

Quantum Physics · Physics 2025-12-18 Yue-Hong Wu , Ning-Hua Tong

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

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

We study the controllability of a central spin guided by a classical field and interacting with a spin bath, showing that the central spin is fully controllable independently of the number of bath spins. Additionally we find that for…

Quantum Physics · Physics 2014-06-30 Christian Arenz , Giulia Gualdi , Daniel Burgarth

We study the influence of narrowed distributions of the nuclear Overhauser field on the decoherence of a central electron spin in quantum dots. We describe the spin dynamics in quantum dots by the central spin model. We use analytic…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 Lars B. Gravert , Peter Lorenz , Carsten Nase , Joachim Stolze , Götz S. Uhrig

Central spin models, where a single spinful particle interacts with a spin environment, find wide application in quantum information technology and can be used to describe, e.g., the decoherence of a qubit over time. We propose a method of…

Quantum Physics · Physics 2023-11-30 Jacek Dobrzyniecki , Michał Tomza

We revisit the problem of the decoherence and relaxation of a central spin coupled to a bath of conduction electrons. We consider both metallic and semiconducting baths to study the effect of a gap in the bath density of states (DOS) on the…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Juliana Restrepo , R. Chitra , S. Camalet , Emilie Dupont