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We present a theory of magnetization dynamics driven by spin-polarized current in terms of the quantum master equation. In the spin coherent state representation, the master equation becomes a Fokker-Planck equation, which naturally…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yong Wang , L. J. Sham

In this work, we aim to extend the application of the fractional calculus in the realm of quantum mechanics. We present a time fractional Pauli equation containing Caputo fractional derivative. By use of the new equation we study the…

General Physics · Physics 2012-07-29 Hosein Nasrolahpour

We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes…

Quantum Physics · Physics 2013-12-09 Antonio Negretti , Klaus Mølmer

We investigate the dynamics of electron spin qubits in quantum dots. Measurement of the qubit state is realized by a charge current through the dot. The dynamics is described in the framework of the quantum trajectory approach, widely used…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Holger Schaefers , Walter T. Strunz

Current fluctuations can provide additional insight into quantum transport in mesoscopic systems. The present work is carried out for the fluctuation properties of transport through a pair of coupled quantum dots which are connected with…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 JunYan Luo , Xin-Qi Li , YiJing Yan

The operation of a source of entangled electron spins, based on a superconductor and two quantum dots in parallel\cite{loss}, is described in detail with the help of quantum master equations. These are derived including the main parasitic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Olivier Sauret , Denis Feinberg , Thierry Martin

We discuss how to detect fluctuating spin currents and derive full counting statistics of electron spin transfers. It is interesting to consider several detectors in series that simultaneously monitor different components of the spins…

Condensed Matter · Physics 2009-11-10 Antonio Di Lorenzo , Yuli V. Nazarov

In this paper we approach the theory of continuous measurements and the associated unconditional and conditional (stochastic) master equations from the perspective of quantum information and quantum computing. We do so by showing how the…

Quantum Physics · Physics 2022-03-15 Jonathan A. Gross , Carlton M. Caves , Gerard J. Milburn , Joshua Combes

Quantum entanglement, in the form of spin squeezing, is known to improve the sensitivity of atomic instruments to static or slowly-varying quantities. Sensing transient events presents a distinct challenge, requires different analysis…

Quantum Physics · Physics 2025-10-31 Julia Amoros-Binefa , Morgan W. Mitchell , Jan Kolodynski

We study the effect of electron-electron backscattering interactions on spin transport in a quantum wire. Even if these interactions have no significant effect on charge transport, they strongly influence the transport of spin. We use the…

Strongly Correlated Electrons · Physics 2009-11-07 Cristina Bena , Leon Balents

We present a detailed derivation of the stochastic master equation determining the time evolution of the state of a general quantum system, which is placed inside a cavity and subjected to indirect measurements by monitoring the state of…

Quantum Physics · Physics 2008-05-15 Anne E. B. Nielsen , Klaus Molmer

By generalizing the usual current density to a matrix with respect to spin variables, a general equation of continuity satisfied by the density matrix and current density matrix has been derived. This equation holds in arbitrary spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hua-Tong Yang , Chengshi Liu

Starting from a model that consists of a semiclassical spin coupled to two leads we present a microscopic derivation of the Langevin equation for the direction of the spin. For slowly-changing direction it takes on the form of the…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 A. S. Nunez , R. A. Duine

Spin transfer torque and spin pumping are central reciprocal phenomena in spintronics. These phenomena occur in hybrid systems of normal metals and magnets. Spin transfer is the conversion of spin currents in metals to a torque on the…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Arne Brataas

We present a theoretical framework to describe experiments directed to controlling single-atom spin dynamics by electrical means using a scanning tunneling microscope. We propose a simple model consisting of a quantum impurity connected to…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Jose Reina-Gálvez , Nicolás Lorente , Fernando Delgado , Liliana Arrachea

We present a stochastic thermodynamics analysis of an electron-spin-resonance pumped quantum dot device in the Coulomb-blocked regime, where a pure spin current is generated without an accompanying net charge current. Based on a generalized…

Statistical Mechanics · Physics 2020-03-18 JunYan Luo , Yiying Yan , Hailong Wang , Jing Hu , Xiao-Ling He , Gernot Schaller

A quantum master equation (QME) is derived for the many-body density matrix of an open current-carrying system weakly coupled to two metal leads. The dynamics and the steady-state properties of the system for arbitrary bias are studied…

Statistical Mechanics · Physics 2016-08-31 Upendra Harbola , Massimiliano Esposito , Shaul Mukamel

For quantum transport through mesoscopic system, a quantum master equation approach is developed in terms of compact expressions for the transport current and the reduced density matrix of the system. The present work is an extension of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xin-Qi Li , Jun-Yan Luo , Yong-Gang Yang , Ping Cui , YiJing Yan

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Shaul Mukamel
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