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A quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical Fermion bath ensembles. The theoretical construction starts with the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Jinshuang Jin , Xiao Zheng , YiJing Yan

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus Buttiker

The tunneling effect of two-dimensional Dirac fermions in a constant magnetic field is studied. This can be done by using the continuity equation at some points to determine the corresponding reflexion and transmission coefficients. For…

High Energy Physics - Theory · Physics 2011-04-28 El Bouazzaoui Choubabi , Mohamed El Bouziani , Ahmed Jellal

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We…

Quantum Physics · Physics 2020-12-30 Lorenzo Rosso , Fernando Iemini , Marco Schirò , Leonardo Mazza

Non-Hermitian systems exhibit a distinctive type of wave propagation, due to the intricate interplay of non-Hermiticity and disorder. Here, we investigate the spreading dynamics in the archetypal non-Hermitian Aubry-Andr\'e model with…

Disordered Systems and Neural Networks · Physics 2024-12-03 Ze-Yu Xing , Shu Chen , Haiping Hu

While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of…

Statistical Mechanics · Physics 2026-05-27 Daisuke Suzuki , Tomohiro Sasamoto

We present a fermionic description of non-equilibrium multi-level systems. Our approach uses the Keldysh path integral formalism and allows us to take into account periodic drives, as well as dissipative channels. The technique is based on…

Describing open quantum systems in terms of effective non-Hermitian Hamiltonians gives rise to non-unitary time evolution. In this paper, we study the impact of non-unitary dynamics on the emergent hydrodynamics in quantum systems with a…

Statistical Mechanics · Physics 2024-10-10 Dylan E. Mahoney , Jonas Richter

We study the statistics of thermal energy transfer in the nonequilibrium (two-bath) spin-boson model. This quantum many-body impurity system serves as a canonical model for quantum energy transport. Our method makes use of the Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Bijay Kumar Agarwalla , Dvira Segal

We reveal interesting universal transport behavior of ordered one-dimensional fermionic systems with power-law hopping. We restrict ourselves to the case where the power-law decay exponent $\alpha>1$, so that the thermodynamic limit is…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Madhumita Saha , Archak Purkayastha , Santanu K. Maiti

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

We study the nonlinear conductance through a quantum dot, specifically its dependence on the asymmetries in the tunnel couplings and bias voltages $V$, at low energies. Extending the microscopic Fermi-liquid theory for the Anderson impurity…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Kazuhiko Tsutsumi , Yoshimichi Teratani , Rui Sakano , Akira Oguri

We establish a mathematically rigorous, general and quantitative framework to describe currents of non- (or weakly) interacting, indistinguishable particles driven far from equilibrium. We derive tight upper and lower bounds for the…

Quantum Physics · Physics 2017-03-03 Mattia Walschaers , Andreas Buchleitner , Mark Fannes

We develop a Green's function formalism for spin transport through heterostructures that contain metallic leads and insulating ferromagnets. While this formalism in principle allows for the inclusion of various magnonic interactions, we…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Jiansen Zheng , Scott Bender , Jogundas Armaitis , Roberto E. Troncoso , R. A. Duine

We analyze the time-dependent energy and heat flows in a resonant level coupled to a fermionic continuum. The level is periodically forced with an external power source that supplies energy into the system. Based on the tunneling…

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We describe a diagrammatic technique for non-Hermitian fermionic systems that is applicable in the steady state, and which allows addressing correlations effects by systematic expansion. Applying this method to exceptional points or rings,…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Johan Carlström

A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 A. Ziletti , F. Borgonovi , G. L. Celardo , F. M. Izrailev , L. Kaplan , V. G. Zelevinsky

In this paper, we introduce a conduction model of Fermi particles on a finite sample, and investigate the asymptotic behavior of stationary current for large sample size. In our model a sample is described by a one-dimensional finite…

Mathematical Physics · Physics 2020-09-24 Kazuki Yamaga

The chiral anomaly underlies a broad number of phenomena, from enhanced electronic transport in topological metals to anomalous currents in the quark-gluon plasma. The discovery of topological states of matter in non-Hermitian systems --…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Sharareh Sayyad , Julia D. Hannukainen , Adolfo G. Grushin