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In this paper, we present the extended dissipaton theory, including the dissipaton-equation-of-motion formalism and the equivalent dissipaton-embedded quantum master equation. These are exact, non-Markovian, and non-perturbative theories,…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Yu Su , Yao Wang , Zi-Fan Zhu , Yuan Kong , Rui-Xue Xu , Xiao Zheng , YiJing Yan

Detailed electronic many-body configurations are extracted from quantitatively measured timeresolved nonlinear absorption spectra of resonantly excited GaAs quantum wells. The microscopic theory assigns the observed spectral changes to a…

Mesoscale and Nanoscale Physics · Physics 2011-11-29 R. P. Smith , J. K. Wahlstrand , A. C. Funk , R. P. Mirin , S. T. Cundiff , J. T. Steiner , M. Schafer , M. Kira , S. W. Koch

The purpose of this talk is to sketch some recent progress which has been made in calculating non-perturbatively the reflection factors for the sinh-Gordon model restricted to a half-line by integrable boundary conditions. The essential…

High Energy Physics - Theory · Physics 2007-05-23 E. Corrigan

Absorbing boundary conditions are presented for three-dimensional time-dependent Schr\"odinger-type of equations as a means to reduce the cost of the quantum-mechanical calculations. The boundary condition is first derived from a…

Numerical Analysis · Mathematics 2020-01-15 Xiaojie Wu , Xiaotao Li

We develop a first-principles theory of phonon-assisted optical absorption in semiconductors and insulators which incorporates the temperature dependence of the electronic structure. We show that the Hall-Bardeen-Blatt theory of indirect…

Materials Science · Physics 2015-10-22 Marios Zacharias , Christopher E. Patrick , Feliciano Giustino

In condensed-matter physics, remarkable advances have been made with atomic systems by establishing a thorough control over cooling and trapping techniques. In semiconductors, this method may also provide a deterministic approach to reach…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 M. Alloing , A. Lemaitre , E. Galopin , F. Dubin

We use functional Bethe Ansatz equations to calculate the cumulants of the total current in the partially asymmetric exclusion process. We recover known formulas for the first two cumulants (mean value of the current and diffusion constant)…

Statistical Mechanics · Physics 2008-07-30 Sylvain Prolhac

We calculate the critical temperature below which an excitonic insulator exists at the pressure-induced semiconductor-semimetal transition. Our approach is based on an effective-mass model for valence and conduction band electrons…

Strongly Correlated Electrons · Physics 2009-11-11 Franz X. Bronold , Holger Fehske

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. By analysing these equations in detail for the…

Statistical Mechanics · Physics 2007-05-23 Jan de Gier , Fabian H L Essler

Phosphorene is a bidimensional material that has properties useful for semiconductor devices. In this work we studied the electronic and optical properties of this material using the $GW$ approximation and the Bethe-Salpeter equation (BSE)…

Mesoscale and Nanoscale Physics · Physics 2017-11-16 Fábio Ferreira , Ricardo Mendes Ribeiro

New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations utilized in experimental studies. The exact formulas give an…

Quantum Physics · Physics 2024-03-07 Jorge G. Russo , Miguel Tierz

Analog quantum simulators can be used to study quantum correlation in novel many-body systems by emulating the Hamiltonian of these systems. One essential question in quantum simulation is to probe the properties of an emulated many-body…

Quantum Physics · Physics 2015-07-29 Liang-Hui Du , J. Q. You , Lin Tian

This paper presents some absorbing boundary conditions (ABC) for simulations based on the time-dependent density-functional theory (TDDFT). The boundary conditions are expressed in terms of the elements of the density-matrix, and it is…

Numerical Analysis · Mathematics 2019-05-01 Xiantao Li

The simplest approach to deal with light excitations in direct-gap semiconductors is to model them as a two-band system: one conduction and one valence band. For such models, particularly simple analytical expressions are known to exist for…

Materials Science · Physics 2022-10-12 W. -R. Hannes , M. F. Ciappina

Based on the Bethe-Salpeter equation eigenstates, we present a first-principles many-body formalism for calculating the two-photon absorption (TPA) coefficient of semiconductors. We apply this formalism to calculate the TPA spectra of MoS2…

Materials Science · Physics 2020-06-02 You-Zhao Lan , Xiao-Hu Bao

Studying the dynamics of quantum many-body systems is often constrained by the limitations in probing relevant observables, especially in continuous systems. A powerful method to gain information about such systems is the reconstruction of…

Here we present complex resonance states (or Siegert states), that describe the tunneling decay of a trapped quantum particle, from an intuitive point of view which naturally leads to the easily applicable Siegert approximation method that…

Quantum Physics · Physics 2011-07-07 Kevin Rapedius

Recently, we have derived the changes in the absorption spectrum of an exciton when this exciton is photocreated close to a metal. The resolution of this problem -- which has similarities with Fermi edge singularities -- has been made…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Combescot , O. Betbeder-Matibet

For the coefficients of the amplitude a set of simultaneous equations is derived in momentum space. By the auxiliary conditions they are equivalent to nonrelativistic equations and suitable for the investigation of two-nucleon system.

Nuclear Theory · Physics 2016-09-13 Susumu Kinpara

We present a perturbative method for calculating phonon properties of an insulator in the presence of a finite electric field. The starting point is a variational total-energy functional with a field-coupling term that represents the effect…

Materials Science · Physics 2009-12-17 Xinjie Wang , David Vanderbilt