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The dynamics and decoherence of an electronic spin-1/2 qubit coupled to a bath of nuclear spins via hyperfine interactions in a quantum dot is studied. We show how exact results from the integrable solution can be used to understand the…

Strongly Correlated Electrons · Physics 2010-10-22 Michael Bortz , Sebastian Eggert , Christian Schneider , Robert Stubner , Joachim Stolze

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

The dynamics of a central spin-1/2 in presence of a local magnetic field and a bath of N spin-1/2 particles is studied in the thermodynamic limit. The interaction between the spins is Heisenberg XY type and the bath is considered to be a…

Quantum Physics · Physics 2008-11-26 J. Rodríguez Garzón , R. M. Gutiérrez

An exact reduced dynamical map along with its operator sum representation is derived for a central spin interacting with a thermal spin environment. The dynamics of the central spin shows high sustainability of quantum traits such as…

Quantum Physics · Physics 2017-11-23 Chiranjib Mukhopadhyay , Samyadeb Bhattacharya , Avijit Misra , Arun Kumar Pati

In this work, we consider decoherence of a central spin by a spin bath. In order to study the non-perturbative decoherence regimes, we develop an efficient mean-field-based method for modeling the spin-bath decoherence, based on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. A. Al-Hassanieh , V. V. Dobrovitski , E. Dagotto , B. N. Harmon

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

Quantum Physics · Physics 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

The time evolution of a spin-1/2 particle under the influence of a locally applied external magnetic field, and interacting with anisotropic spin environment in thermal equilibrium at temperature $T$ is studied. The exact analytical form of…

Quantum Physics · Physics 2011-10-19 Y. Hamdouni , F. Petruccione

We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by inhomogeneous Heisenberg couplings including a central magnetic field. This central-spin model describes decoherence in quantum bit systems. An exact formula for…

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

In this article we derive the exact dynamics of a two qubit (spin 1/2) system interacting centrally with separate fermionic baths composed of qubits in thermal state. Further, each spin of a bath is coupled to every other spin of the same…

Quantum Physics · Physics 2022-10-04 Devvrat Tiwari , Shounak Datta , Samyadeb Bhattacharya , Subhashish Banerjee

We study the decoherence of a spin in a quantum dot due to its hyperfine coupling to a randomly fluctuating bath of nuclear spins. The system is modelled by the central spin model with the spin bath initially being at infinite temperature.…

Mesoscale and Nanoscale Physics · Physics 2013-09-02 Alexandre Faribault , Dirk Schuricht

In this work, we study the low-energy properties of the spin-boson model (SBM), which describes the dynamics of a 1/2 spin associated with a thermostat characterized by a power law spectral density, $f(\omega)\propto \omega^s$. The…

Statistical Mechanics · Physics 2025-07-15 M. G. Vasin , S. V. Remizov , A. A. Elistratov

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

The decohering environment of a quantum bit is often described by the coupling to a large bath of spins. The quantum bit itself can be seen as a spin $S=1/2$ which is commonly called the central spin. The resulting central spin model…

Quantum Physics · Physics 2016-09-27 Urban Seifert , Philip Bleicker , Philipp Schering , Alexandre Faribault , Götz S. Uhrig

We study the dynamics of the Gaudin magnet ("central-spin model") using machine-learning methods. This model is of practical importance, e.g., for studying non-Markovian decoherence dynamics of a central spin interacting with a large bath…

Quantum Physics · Physics 2024-05-17 Victor Wei , Alev Orfi , Felix Fehse , W. A. Coish

Central spin systems, in which a {\it central} spin is singled out and interacts nonlocally with several {\it bath} spins, are paradigmatic models for nitrogen-vacancy centers and quantum dots. They show complex emergent dynamics and…

Statistical Mechanics · Physics 2024-03-05 Federico Carollo

We propose a new approach to simulate the decoherence of a central spin coupled to an interacting dissipative spin bath with cluster-correlation expansion techniques. We benchmark the approach on generic 1D and 2D spin baths and find…

Quantum Physics · Physics 2023-12-05 Mykyta Onizhuk , Yu-Xin Wang , Jonah Nagura , Aashish A. Clerk , Giulia Galli

We study an extended central spin model with an isotropic nearest-neighbour spin-exchange interaction among the bath spins. The system is controllable by external magnetic fields applied on the central spin and the bath, respectively. We…

Strongly Correlated Electrons · Physics 2020-07-08 Pengcheng Lu , Hai-Long Shi , Like Cao , Xiao-Hui Wang , Tao Yang , Junpeng Cao , Wen-Li Yang

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

A low temperature model system consisting of a central spin coupled to a spin-bath is studied to determine whether interaction among bath spins has an effect on central spin dynamics. In the absence of intra-environmental coupling,…

Quantum Physics · Physics 2007-05-23 L. Tessieri , J. Wilkie

The spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central spin problem of the effect of the hyperfine interaction between such an electron…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 Gang Chen , Doron L. Bergman , Leon Balents
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