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In broadband quantum optical systems, nonlinear interactions among a large number of frequency components induce complex dynamics that may defy heuristic analysis. In this work we introduce a perturbative framework for factoring out…

Quantum Physics · Physics 2023-11-08 Chris Gustin , Ryotatsu Yanagimoto , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

We show that the counter-rotating terms of the dispersive qubit-cavity Rabi model can produce relatively large and nonmonotonic Bloch-Siegert shifts in the cavity frequency as the system is driven through a quantum-to-classical transition.…

Mesoscale and Nanoscale Physics · Physics 2017-08-04 I. Pietikäinen , S. Danilin , K. S. Kumar , A. Vepsäläinen , D. S. Golubev , J. Tuorila , G. S. Paraoanu

We study Bragg spectroscopy of a strongly interacting Bose-Einstein condensate using time-dependent Hartree-Fock-Bogoliubov theory. We include approximatively the effect of the momentum dependent scattering amplitude which is shown to be…

Other Condensed Matter · Physics 2010-09-17 J. J. Kinnunen , M. J. Holland

We propose a Rydberg molecule dressing scheme to create strong and long-ranged interactions at selective distances. This is achieved through laser coupling ground-state atoms off-resonantly to an attractive molecular curve of two…

Quantum Physics · Physics 2022-06-16 Huaizhi Wu , Xin-Yu Lin , Zong-Xing Ding , Shi-Biao Zheng , Igor Lesanovsky , Weibin Li

This work presents a pedagogical and self-contained derivation of the first-order effective Hamiltonian for the two-mode Jaynes-Cummings model in the dispersive regime. A perturbative unitary transformation removes nonresonant atom-field…

Quantum Physics · Physics 2026-01-27 Alejandro R. Urzúa

We observe dressed states and quantum interference effects in a strongly driven three-level quantum dot ladder system. The effect of a strong coupling field on one dipole transition is measured by a weak probe field on the second dipole…

Materials Science · Physics 2009-11-13 B. D. Gerardot , D. Brunner , P. A. Dalgarno , K. Karrai , A. Badolato , P. M. Petroff , R. J. Warburton

The Rabi Hamiltonian is studied in the dispersive regime and ultra-strong coupling. We employ a recent unitary transformation to obtain not only the approximate Hamiltonian and its energy levels but also its eigenfunctions. The relationship…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Titus Sandu

We study the coherent dynamics of a qubit excited by an amplitude-modulated electromagnetic field under the Rabi resonance when the frequency of the low-frequency modulation field matches the Rabi frequency in the high-frequency field. Due…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 A. P. Saiko , S. A. Markevich , R. Fedaruk

The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The signature of the…

Quantum Physics · Physics 2008-04-04 Omar Mustafa , S. Habib Mazharimousavi

We study the nonlinear dynamics of trapped-ion models far away from the Lamb-Dicke regime. This nonlinearity induces a sideband cooling blockade, stopping the propagation of quantum information along the Hilbert space of the Jaynes-Cummings…

Quantum Physics · Physics 2018-05-21 Xiao-Hang Cheng , Iñigo Arrazola , Julen S. Pedernales , Lucas Lamata , Xi Chen , Enrique Solano

We formulate a time-dependent Fluctuating Local Field (TD-FLF) method for correlated fermion dynamics, extending the stationary FLF approach. The wavefunction is approximated as an ensemble of non-interacting states subject to a classical…

Strongly Correlated Electrons · Physics 2026-04-30 L. D. Silakov , Ya. S. Lyakhova , A. N. Rubtsov

We benchmark a selection of semiclassical and perturbative dynamics techniques by investigating the correlated evolution of a cavity-bound atomic system to assess their applicability to study problems involving strong light-matter…

Quantum Physics · Physics 2020-01-29 Norah M. Hoffmann , Christian Schäfer , Niko Säkkinen , Angel Rubio , Heiko Appel , Aaron Kelly

The Rabi model that describes the fundamental interaction between a two-level system with a quantized harmonic oscillator is one of the simplest and most ubiquitous models in modern physics. However, this model has not been solved exactly…

Quantum Physics · Physics 2015-06-04 Lixian Yu , Shiqun Zhu , Qifeng Liang , Gang Chen , Suotang Jia

Hybrid interactions between light and two-level systems and their nonlinear nature are crucial components of advanced quantum information processing and quantum networks. Rabi interaction exhibits the hybrid nonlinear nature, but its…

Quantum Physics · Physics 2020-06-16 Kimin Park , Julien Laurat , Radim Filip

We consider a generalized version of the Rabi model that includes a nonlinear, dispersive-type atom-field interaction in addition to the usual linear dipole coupling, as well as cavity dissipation. An effective system of this sort arises,…

Quantum Physics · Physics 2014-08-27 Arne L. Grimsmo , Scott Parkins

Strong-field quantum-state control is investigated, taking advantage of the full---amplitude and phase---characterization of the interaction between matter and intense ultrashort pulses via transient-absorption spectroscopy. A sequence of…

Atomic Physics · Physics 2017-04-26 Stefano M. Cavaletto , Zoltán Harman , Thomas Pfeifer , Christoph H. Keitel

We demonstrate that the well-known $(k\uparrow, -k\downarrow)$ Bardeen-Cooper-Schrieffer interaction, when considered in real space, is equivalent to an infinite-range Penson-Kolb pairing mechanism coexisting with an attractive Hubbard…

Superconductivity · Physics 2024-04-17 Francesco Romeo , Alfonso Maiellaro

We investigate quantum thermal state preparation algorithms based on system-bath interactions and uncover a surprising phenomenon in the weak-coupling regime. We rigorously prove that, if the system-bath interaction is engineered so that…

Quantum Physics · Physics 2026-05-18 Hongrui Chen , Zhiyan Ding , Ruizhe Zhang

The Bose--Hubbard dimer model is a celebrated fundamental quantum mechanical model that accounts for the dynamics of bosons at two interacting sites. It has been realized experimentally by two coupled, driven and lossy photonic crystal…

Chaotic Dynamics · Physics 2021-05-12 Andrus Giraldo , Neil G. R. Broderick , Bernd Krauskopf

We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change dk. Our analysis is based on…

Other Condensed Matter · Physics 2009-09-03 Moritz Hiller , Tsampikos Kottos , Theo Geisel