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An efficient numerical method is developed using the matrix product formalism for computing the properties at finite energy densities in one-dimensional (1D) many-body localized (MBL) systems. Arguing that any efficient (possibly quantum)…

Disordered Systems and Neural Networks · Physics 2015-08-20 Yichen Huang

Understanding frictional phenomena is a fascinating fundamental problem with huge potential impact on energy saving. Such an understanding requires monitoring what happens at the sliding buried interface, which is almost inaccessible by…

Mesoscale and Nanoscale Physics · Physics 2023-04-24 Seiji Kajita , Alberto Pacini , Gabriele Losi , Nobuaki Kikkawa , Maria Clelia Righi

The modeling of out-of-equilibrium many-body systems requires to go beyond the low-energy physics and local densities of states. Many-body localization, presence or lack of thermalization and quantum chaos are examples of phenomena in which…

Statistical Mechanics · Physics 2023-06-21 Rémi Lefèvre , Krissia Zawadzki , Grégoire Ithier

The many-body Green's function provides access to electronic properties beyond density functional theory level in ab inito calculations. In this manuscript, we propose a deep learning framework for predicting the finite-temperature Green's…

Chemical Physics · Physics 2024-02-20 Xinyang Dong , Emanuel Gull , Lei Wang

Inspired by recent experiments on many-body localized systems coupled to an environment, we apply a Flow Equation method to study the problem of a disorder chain of spinless fermions, coupled via density-density interactions to a second…

Disordered Systems and Neural Networks · Physics 2020-01-16 Shane P. Kelly , Rahul Nandkishore , Jamir Marino

This work reports the conditions under which weak scattering assumptions can be applied in a beam loaded by multiple resonators supporting both longitudinal and flexural waves. The work derives the equations of motion of a one-dimensional…

Applied Physics · Physics 2024-10-02 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

The unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics, which can be radically different from closed-system scenarios. Such open quantum system dynamics is generally described…

Quantum Physics · Physics 2022-05-27 Álvaro Gómez-León , Tomás Ramos , Diego Porras , Alejandro González-Tudela

Light-matter interfaces enable the generation of entangled states of light and matter which can be exploited to steer the quantum state of matter through measurement of light and feedback. Here we consider continuous-time, interferometric…

Quantum Physics · Physics 2016-11-21 Jonas Lammers , Hendrik Weimer , Klemens Hammerer

The two-time Green function method in quantum electrodynamics of high-Z few-electron atoms is described in detail. This method provides a simple procedure for deriving formulas for the energy shift of a single level and for the energies and…

Atomic Physics · Physics 2009-11-06 V. M. Shabaev

We investigate analytically the performance of many-body energy functionals, derived respectively by Klein and Luttinger and Ward, at different levels of diagrammatic approximations, ranging from second Born, to GW, to the so-called…

Strongly Correlated Electrons · Physics 2024-04-26 Giovanna Lani , Nicola Marzari

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

Quantum many-body methods provide a systematic route to computing electronic properties of molecules and materials, but high computational costs restrict their use in large-scale applications. Due to the complexity in many-electron…

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

A model is proposed to study the hybrid exciton in a quantum dot-dendrimer systems. The semiconductor organic hybrid exciton is studied using a "real space" Green's function method and a diagrammatic technique. The energy of the hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Nguyen Que Huong , Joseph L. Birman

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

Disordered Systems and Neural Networks · Physics 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

In this work, we present a numerical framework for modeling single photon emission from a two level system in open and dissipative systems beyond the Markovian approximation. The method can be readily integrated into standard computational…

Quantum Physics · Physics 2025-11-06 Hyunwoo Choi , Jisang Seo , Weng C. Chew , Dong-Yeop Na

A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics that can be described by the Lindblad master equation in Liouville density operator space. The method extends the Hilbert space…

Quantum Physics · Physics 2021-02-03 Alexander Karabanov , Walter Köckenberger

Green's function theory has emerged as a powerful many-body approach not only in condensed matter physics but also in quantum chemistry in recent years. We have developed a new all-electron implementation of the BSE@GW formalism using…

Chemical Physics · Physics 2024-10-15 Ruiyi Zhou , Yi Yao , Volker Blum , Xinguo Ren , Yosuke Kanai

Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper [1] is generalized and used to investigate superconducting state of this model. We use the notion of charge quantum number to describe the irreducible…

Strongly Correlated Electrons · Physics 2010-01-20 V. A. Moskalenko , L. A. Dohotaru , D. F. Digor , I. D. Cebotari