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We develop a length-gauge formalism for treating one-dimensional periodic lattice systems in the presence of a photon cavity inducing light-matter interaction. The purpose of the formalism is to remove mathematical ambiguities that occur…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Ekaterina Vlasiuk , Valerii K. Kozin , Jelena Klinovaja , Daniel Loss , Ivan V. Iorsh , Ilya V. Tokatly

Collective light-matter interactions have been used to control chemistry and energy transfer, yet accessible approaches that combine ab initio methodology with large many-body quantum optical systems are missing due to the fast increase in…

Quantum Physics · Physics 2024-08-27 Frieder Lindel , Dominik Lentrodt , Stefan Yoshi Buhmann , Christian Schäfer

We study the electronic transport through a pair of distant nanosystems ($S_a$ and $S_b$) embedded in a single-mode cavity. Each system is connected to source and drain particle reservoirs and the electron-photon coupling is described by…

Mesoscale and Nanoscale Physics · Physics 2019-09-16 Valeriu Moldoveanu , Ion Viorel Dinu , Andrei Manolescu , Vidar Gudmundsson

Evaluating the time-dependent dynamics of driven open quantum systems is relevant for a theoretical description of many systems, including molecular junctions, quantum dots, cavity-QED experiments, cold atoms experiments and more. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Archak Purkayastha , Yonatan Dubi

We analyze the time-dependent solution of master equations by exploiting fermionic duality, a dissipative symmetry applicable to a large class of open systems describing quantum transport. Whereas previous studies mostly exploited duality…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Lara C. Ortmanns , Maarten R. Wegewijs , Janine Splettstoesser

Methods derived from the generalized quantum master equation (GQME) framework have provided the basis for elucidating energy and charge transfer in systems ranging from molecular solids to photosynthetic complexes. Recently, the…

Chemical Physics · Physics 2019-07-24 William C. Pfalzgraff , Andrés Montoya Castillo , Aaron Kelly , Thomas E. Markland

A unified theory for the current through a nanoscale region of interacting electrons connected to two leads which can be either ferromagnet or superconductor is presented, yielding Meir-Wingreen-type formulas when applied to specific…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , Baowen Li , F. Claro

We present a master equation describing the interaction of light with dielectric objects of arbitrary sizes and shapes. The quantum motion of the object, the quantum nature of light, as well as scattering processes to all orders in…

Quantum Physics · Physics 2012-07-30 Anika C. Pflanzer , Oriol Romero-Isart , J. Ignacio Cirac

We study a classical integrable (Neumann) model describing the motion of a particle on the sphere, subject to harmonic forces. We tackle the problem in the infinite dimensional limit by introducing a soft version in which the spherical…

Statistical Mechanics · Physics 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

Time-resolved electron transport in nano-devices is described by means of a time-nonlocal quantum master equation for the reduced density operator. Our formulation allows for arbitrary time dependences of any device or contact parameter.…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Alexander Croy , Ulf Saalmann

The superconducting reservoir effect on the current carrying transport of a double quantum dot in Markovian regime is investigated. For this purpose, a quantum master equation (QME) at finite temperature is derived for the many-body density…

Superconductivity · Physics 2019-06-13 E. Afsaneh , H. Yavari

Impressive advances in the field of molecular spintronics allow one to study electron transport through individual magnetic molecules embedded between metallic leads in the purely quantum regime of single electron tunneling. Besides…

Strongly Correlated Electrons · Physics 2019-09-05 Alessandro Chiesa , Emilio Macaluso , Paolo Santini , Stefano Carretta , Eva Pavarini

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

We investigate the transport through a few-level quantum system described by a Markovian master equation with temperature- and particle-density dependent chemical potentials. From the corresponding Onsager relations we extract linear…

Quantum Gases · Physics 2014-02-03 Christian Nietner , Gernot Schaller , Tobias Brandes

Recently, experiments aimed at measuring gravity mediated entanglement (GME) using quantum information techniques have been proposed, based on the assumption that if two systems get entangled through local interactions with gravitational…

Quantum Physics · Physics 2023-04-17 Ji Bian , Teng Liu , Pengfei Lu , Qifeng Lao , Xinxin Rao , Feng Zhu , Yang Liu , Le Luo

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total…

Closed quantum many-body systems out of equilibrium pose several long-standing problems in physics. Recent years have seen a tremendous progress in approaching these questions, not least due to experiments with cold atoms and trapped ions…

Quantum Physics · Physics 2015-09-02 J. Eisert , M. Friesdorf , C. Gogolin

At the quantum many-body level, atom-light interfaces generally remain challenging to solve for or understand in a non-perturbative fashion. Here, we consider a waveguide quantum electrodynamics model, where two-level atoms interact with…

Quantum Physics · Physics 2021-09-15 Nikos Fayard , Loïc Henriet , Ana Asenjo-Garcia , Darrick Chang

We discuss the use of super-fermion formalism to represent and solve quantum kinetic equations for the electron transport problem. Starting with the Lindblad master equation for the molecule connected to two metal electrodes, we convert the…

Mesoscale and Nanoscale Physics · Physics 2011-02-04 Alan A. Dzhioev , D. S. Kosov

Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular…

Quantum Physics · Physics 2017-10-09 O. de los Santos-Sánchez , J. Récamier , R. Jáuregui