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We discuss methods for numerically solving the generalized Master equation GME which governs the time-evolution of the reduced density matrix of a mechanically movable mesoscopic device in a dissipative environment. As a specific example,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antti-Pekka Jauho , Tomas Novotny , Andrea Donarini , Christian Flindt

We present a formula for thermal transport in the bulk of Bose systems based on the quantum Boltzmann equation (QBE). First, starting from the quantum kinetic equation and using the Born approximation for impurity scattering, we derive the…

Mesoscale and Nanoscale Physics · Physics 2021-08-09 Kouki Nakata , Yuichi Ohnuma

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 consider two two-level atoms fixed at different positions, driven by a monochromatic laser field, and interacting collectively with the vacuum electromagnetic field. A Born-Markov-secular master equation is used to describe the dynamics…

Quantum Physics · Physics 2011-04-19 L. O. Castaños

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

Quantum Physics · Physics 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

A detailed analysis of the quantum diffusive Stochastic Master Equation (SME) for qubit/cavity systems with dispersive coupling is provided. This analysis incorporates classical input signals and output signals (measurement outcomes through…

Quantum Physics · Physics 2026-04-01 Pierre Rouchon

We theoretically investigate electrical transport in a quantum Hall system hosting bulk and edge current carrying states. Spatially varying magnetic and electric confinement creates pairs of current carrying lines that drift in the same or…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Puja Mondal , Alain Nogaret , Sankalpa Ghosh

We present a set of modified quantum rate equations, with the help of the nonequilibrium Green's function and slave-particle techniques along with the correct quantization, for description of the quantum transport through an interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We report on the derivation of the heat transport equation for nonmetals using a quantum Markovian master equation in Lindblad form. We first establish the equations of motion describing the time variation of the on-site energy of atoms in…

Quantum Physics · Physics 2021-12-30 Yamen Hamdouni

A wide class of exact master equations for a multiple qubit system can be explicitly constructed by using the corresponding exact non-Markovian quantum state diffusion equations. These exact master equations arise naturally from the quantum…

Quantum Physics · Physics 2015-03-02 Yusui Chen , J. Q. You , Ting Yu

Quark-nuclear matter (QNM) is a many-body system containing hadrons and deconfined quarks. Starting from a microscopic quark-meson coupling (QMC) Hamiltonian with a density dependent quark-quark interaction, an effective quark-hadron…

Nuclear Theory · Physics 2017-08-23 G. Krein , V. E. Vizcarra

We describe the transition of $N$ weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate…

Quantum Physics · Physics 2015-05-19 Alexej Schelle , Thomas Wellens , Dominique Delande , Andreas Buchleitner

The conductance through two quantum dots in series is studied using general qualitative arguments and quantitative slave-boson mean-field theory. It is demonstrated that measurements of the conductance can explore the phase diagram of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Antoine Georges , Yigal Meir

The tomographic reconstruction of the state of a quantum-mechanical system is an essential component in the development of quantum technologies. We present an overview of different tomographic methods for determining the quantum-mechanical…

Quantum Physics · Physics 2016-02-09 Roman Schmied

We revisit the model of a system made up of a Brownian quantum oscillator under the influence of an external classical force and linearly coupled to an environment made up of many quantum oscillators at zero or finite temperature. We show…

Quantum Physics · Physics 2007-05-23 C. H. Fleming , B. L. Hu , Albert Roura

Quantum measurements are described as instantaneous projections in textbooks. They can be stretched out in time using weak measurements, whereby one can observe the evolution of a quantum state as it heads towards one of the eigenstates of…

Quantum Physics · Physics 2018-04-11 Parveen Kumar , Suman Kundu , Madhavi Chand , R. Vijayaraghavan , Apoorva Patel

The quantum master equation is introduced for the density matrix representing Bogoliubov-BCS quasiparticles. A constraint to relate the loss and gain factors is taken into account to preserve the form of the density matrix. Such an equation…

Superconductivity · Physics 2014-04-07 Chun-Feng Huang , Keh-Ning Huang

The general theory for quantum simulation of cubic semiconductor n-MOSFETs is presented within the effective mass equation approach. The full three-dimensional transport problem is described in terms of coupled transverse subband modes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anisur Rahman , Mark S. Lundstrom , Avik W. Ghosh

We derive quantum trajectories (also known as stochastic master equations) that describe an arbitrary quantum system probed by a propagating wave packet of light prepared in a continuous-mode Fock state. We consider three detection schemes…

Quantum Physics · Physics 2017-08-18 Ben Q. Baragiola , Joshua Combes