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We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

We extend the microscopic particle-rotor model for hypernuclear low-lying states by including the derivative and tensor coupling terms in the point-coupling nucleon-$\Lambda$ particle ($N\Lambda$) interaction. Taking $^{13}_{~\Lambda}$C as…

Nuclear Theory · Physics 2016-05-04 H. Mei , K. Hagino , J. M. Yao , T. Motoba

We investigate the interaction dependence of the liquid-gas critical point of symmetric nuclear matter in finite-temperature lattice effective field theory. Building on the pinhole-trace algorithm, we benchmark a first-order perturbative…

Nuclear Theory · Physics 2026-04-21 Osman Agar , Zhengxue Ren , Serdar Elhatisari

In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher…

Optimization and Control · Mathematics 2019-09-06 Nicolas Augier , Ugo Boscain , Mario Sigalotti

I introduce and analyse chiral light--matter interaction in the ultrastrong coupling limit where the rotating-wave approximation cannot be made. Within this limit, a two-level system (TLS) with a circularly polarized transition dipole…

Quantum Physics · Physics 2019-10-02 Sahand Mahmoodian

In this article I show why the fundamental constants obtain perturbative corrections in higher orders, why the renormalizations work and how to reformulate the theory in order to avoid these technical and conceptual complications. I…

General Physics · Physics 2014-05-21 Vladimir Kalitvianski

We propose a perturbative-variational approach to interacting fermion systems on 1D and 2D lattices at half-filling. We address relevant issues such as the existence of Long Range Order, quantum phase transitions and the evaluation of…

Condensed Matter · Physics 2007-05-23 Miguel A. Martin-Delgado , German Sierra

We demonstrate that in a triangular configuration of an optical lattice of two atomic species a variety of novel spin-1/2 Hamiltonians can be generated. They include effective three-spin interactions resulting from the possibility of atoms…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Martin B. Plenio

We study the quantum dynamics of N coherently driven two-level atoms coupled to an optical resonator. In the strong coupling regime the cavity field generated by atomic scattering interferes destructively with the pump on the atoms. This…

Quantum Physics · Physics 2009-11-10 Stefano Zippilli , Giovanna Morigi , Helmut Ritsch

We consider a model Hamiltonian describing the interaction of a single-mode radiation field with the atoms of a nonlinear medium, and study the dynamics of entanglement for specific non-entangled initial states of interest: namely, those in…

Quantum Physics · Physics 2007-07-01 C. Sudheesh , S. Lakshmibala , V. Balakrishnan

We present the concept, derivation, and implementation of dynamical configuration interaction, a quantum embedding theory that combines Green's function methodology with the many-body wave function. In a strongly-correlated active space, we…

Chemical Physics · Physics 2019-04-03 Marc Dvorak , Patrick Rinke

Quantum optomechanics describes the interaction between a confined field and a fluctuating wall due to radiation pressure. The dynamics of this system is typically understood using perturbation theory up to second order in the small…

Quantum Physics · Physics 2026-04-03 Alessandro Ferreri , Vincenzo Macrì , Yoshihiko Hasegawa , David Edward Bruschi

We consider a hybrid atom-ion system consisting of a pair of bosons interacting with a single ion in a quasi-one-dimensional trapping geometry. Building upon a model potential for the atom-ion interaction developed in earlier theoretical…

Quantum Physics · Physics 2023-02-14 Daniel J. Bosworth , Maxim Pyzh , Peter Schmelcher

Coherent and dissipative couplings, respectively characterised by energy level repulsion and attraction, each have different applications for quantum information processing. Thus, a system in which both coherent and dissipative couplings…

In dimension $d=1,2,3$ we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose two Hamiltonians, $\hat H_0$ and $\hat H_\ve$, giving rise…

Mathematical Physics · Physics 2009-11-13 Claudio Cacciapuoti , Raffaele Carlone , Rodolfo Figari

In this paper we exploit the technique used in \cite{A}-\cite{5b} to deal with delta interactions in a rigorous way in a curved spacetime represented by a cosmic string along the $z$ axis. This mathematical machinery is applied in order to…

Mathematical Physics · Physics 2019-05-20 S. Fassari , F. Rinaldi , S. Viaggiu

A study of the $\lambda$- and $N$-atomic configurations under dipolar interaction with $2$ modes of electromagnetic radiation is presented. The corresponding quantum phase diagrams are obtained by means of a variational procedure. Both…

Quantum Physics · Physics 2016-07-06 S. Cordero , O. Castaños , R. López-Peña , E. Nahmad-Achar

We study coherent and radiative interactions induced among two or more quantum units, by coupling them to two-dimensional lattices acting as structured environments. This model can be representative of atoms trapped near photonic crystal…

Quantum Physics · Physics 2018-04-06 F. Galve , R. Zambrini

A self-consistent, non-perturbative scheme of approximation is proposed for arbitrary interacting quantum systems by generalization of the Hartree method.The scheme consists in approximating the original interaction term $\lambda H_I$ by a…

Quantum Physics · Physics 2007-05-23 B. P. Mahapatra , N. Santi , N. B. Pradhan

We investigate the transient effects occurring in a molecular quantum dot described by an Anderson-Holstein Hamiltonian which is instantly coupled to two fermionic leads biased by a finite voltage. In the limit of weak electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2010-03-30 R. -P. Riwar , T. L. Schmidt
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