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The finite entropy of black holes suggests that local regions of spacetime are described by finite-dimensional factors of Hilbert space, in contrast with the infinite-dimensional Hilbert spaces of quantum field theory. With this in mind, we…

Quantum Physics · Physics 2020-04-27 Ashmeet Singh , Sean M. Carroll

The Generalized Method of Moments (GMM) is a partition of unity based technique for solving electromagnetic and acoustic boundary integral equations. Past work on the GMM for electromagnetics was confined to geometries modeled by piecewise…

Computational Physics · Physics 2015-06-18 Daniel Dault , Naveen V. Nair , Jie Li , Balasubramaniam Shanker

The equation of motion method (EOM) is one of the approximations to calculate transport coefficients of interacting electron systems. The method is known to be useful to examine high-temperature properties. However, sometimes a naive…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

General first order methods (GFOMs), including various gradient descent and AMP algorithms, constitute a broad class of iterative algorithms in modern statistical learning problems. Some GFOMs also serve as constructive proof devices,…

Statistics Theory · Mathematics 2025-05-30 Qiyang Han

We generalize the quantum optical input-output theory developed for optical cavities to ultracold fermionic atoms confined in a trapping potential, which forms an "atom cavity". In order to account for the Pauli exclusion principle, quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. P. Search , S. Poetting , W. Zhang , P. Meystre

We introduce a hybrid method for dielectric-metal composites that describes the dynamics of the metallic system classically whilst retaining a quantum description of the dielectric. The time-dependent dipole moment of the classical system…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Ryan J. McMillan , Lorenzo Stella , Myrta Grüning

Here we present theoretical studies of the effect of vibronic coupling on nonlinear transport characteristics (current-voltage and conductance-voltage) in molecular electronic devices. Considered device is composed of molecular quantum dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

Generalized quantum measurements (also known as POVMs) are of great importance in quantum information and quantum foundations, but often difficult to perform. We present an experimental approach which can in principle be used to perform…

The previously applied independent atom model (IAM) for highly charged ion-molecule collisions which implemented the suppression of multiple ionization and capture on the basis of geometric overlaps of cross-sectional areas representing…

Atomic Physics · Physics 2025-09-15 Hans Jürgen Lüdde , Marko Horbatsch , Tom Kirchner

The method of the nonequilibrium statistical operator developed by D. N. Zubarev is employed to analyse and derive generalized transport and kinetic equations. The degrees of freedom in solids can often be represented as a few interacting…

Statistical Mechanics · Physics 2009-11-11 A. L. Kuzemsky

The main technological obstacle hampering the dissemination of modern optoelectronic devices operating with large light-matter coupling strength ${\Omega}$ is an in-depth comprehension of the carrier current extraction and injection from…

We develop a classical mapping approach suitable to describe vibrationally coupled charge transport in molecular junctions based on the Cartesian mapping for many-electron systems [J. Chem. Phys. 137, 154107 (2012)]. To properly describe…

Strongly Correlated Electrons · Physics 2015-06-18 Bin Li , Eli. Y. Wilner , Michael Thoss , Eran Rabani , William H. Miller

The extension of the Ramo-Schockley-Pellegrini theorem for quantum systems allows to define a positive-operator valued measure (POVM) for the total conduction plus displacement electrical current. The resulting current operator is…

Quantum Physics · Physics 2016-02-29 Guillermo Albareda , Fabio Lorenzo Traversa , Abdelilah Benali

We propose a new method for simulating electron dynamics in open quantum systems out of equilibrium, using a finite atomistic model. The proposed method is motivated by the intuitive and practical nature of the driven Liouville von-Neumann…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Tamar Zelovich , Leeor Kronik , Oded Hod

We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

Statistical Mechanics · Physics 2009-10-28 J. Fricke

The generalized Kadanoff-Baym ansatz (GKBA) offers a computationally inexpensive approach to simulate out-of-equilibrium quantum systems within the framework of nonequilibrium Green's functions. For finite systems the limitation of…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

A simple scheme capable of treating transport in molecular junctions in the language of many-body states is presented. An ansatz in Liouville space similar to generalized Kadanoff-Baym approximation is introduced in order to reduce exact…

Mesoscale and Nanoscale Physics · Physics 2009-05-06 Massimiliano Esposito , Michael Galperin

Quantum simulation offers a route to study open-system molecular dynamics in non-perturbative regimes by programming the interactions among electronic, vibrational, and environmental degrees of freedom on similar energy scales. Trapped-ion…

We present an unconventional approach to realize acoustic charge transport devices that takes advantage from an original input region geometry in place of standard Ohmic input contacts. Our scheme is based on a n-i-n lateral junction as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Marco Cecchini , Giorgio De Simoni , Vincenzo Piazza , Fabio Beltram , H. E. Beere , D. A. Ritchie

We analytically tackle opto-vibronic interactions in molecular systems driven by either classical or quantum light fields. In particular, we examine a simple model of molecules with two relevant electronic levels, characterized by potential…

Quantum Physics · Physics 2024-02-28 Q. Zhang , M. Asjad , M. Reitz , C. Sommer , B. Gurlek , C. Genes