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In the present article, we consider the so-called two-spin equation that describes four-level quantum systems. Recently, these systems attract attention due to their relation to the problem of quantum computation. We study general…

Quantum Physics · Physics 2008-11-26 V. G. Bagrov , M. C. Baldiotti , D. M. Gitman , A. D. Levin

We consider a spin impurity with multiple energy levels moving in a non-interacting Fermi sea, and theoretically solve this Fermi spin polaron problem at nonzero temperature by using a non-self-consistent many-body $T$-matrix theory. We…

Quantum Gases · Physics 2023-12-21 Hui Hu , Xia-Ji Liu

The interaction of an electromagnetic wave with spin (polarized light) and an electron is computed. Specifically the spin flip probability is computed using the Dirac equation for an electron trapped in a uniform magnetic field.

Optics · Physics 2014-05-16 Richard T Hammond

We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counter-rotating interactions are governed by two different coupling constants; a…

Quantum Physics · Physics 2014-06-18 Qiong-Tao Xie , Shuai Cui , Jun-Peng Cao , Luigi Amico , Heng Fan

Rabi oscillations describe the interaction of a two-level system with a rotating electromagnetic field. As such, they serve as the principle method for manipulating quantum bits. By using a combination of femtosecond laser pulses and…

Mesoscale and Nanoscale Physics · Physics 2016-05-16 Amir Capua , Charles Rettner , See-Hun Yang , Stuart S. P. Parkin

The Rabi Hamiltonian, describing the interaction between a two-level atomic system and a single cavity mode of the electromagnetic field, is one of the fundamental models in quantum optics. The model becomes exactly solvable by considering…

Quantum Physics · Physics 2021-08-04 Giovanni Scala , Karolina Słowik , Paolo Facchi , Saverio Pascazio , Francesco Pepe

Monochromatically driven two-level systems (i.e., Rabi models) are ubiquitous in various fields of physics. Though they have been exactly solved, the physical pictures in these exact solutions are not clear. Recently, approximate analytical…

Quantum Physics · Physics 2025-04-23 Yingying Han , Shuanghao Zhang , Meijuan Zhang , Q. Guan , Wenxian Zhang , Weidong Li

The quantum Rabi model is essential for understanding interacting quantum systems. It serves as the simplest non-integrable yet solvable model describing the interaction between a two-level system and a single mode of a bosonic field. In…

Quantum Physics · Physics 2024-01-12 Chon-Fai Kam , Yang Chen

We demonstrate that a highly excited quantum electromagnetic mode strongly interacting with a single qubit exhibits several distinct resonances in addition to the Bloch-Siegert resonance condition that arises in the interaction with…

Quantum Physics · Physics 2015-03-13 Omri Gat , Max Lein , Stefan Teufel

We provide the first evidence for coherence and Rabi oscillations of spin-solitons pinned by the local breaking of translational symmetry in isotropic Heisenberg chains (simple antiferromagnetic-N\'{e}el or spin-Peierls).We show that these…

Strongly Correlated Electrons · Physics 2015-06-18 Sylvain Bertaina , Charles-Emmanuel Dutoit , Johan Van Tol , Martin Dressel , Bernard Barbara , Anatoli Stepanov

The $\mathcal{PT}$ symmetric semiclassical Rabi model explores the fundamental interaction between a two-level atom and a classical field, revealing novel phenomena in open systems through the inclusion of non-Hermitian terms. We propose a…

Quantum Physics · Physics 2025-04-08 Yibo Liu , Liwei Duan , Qing-Hu Chen

Quasi-exactly solvable Rabi model is investigated within the framework of the Bargmann Hilbert space of analytic functions ${\cal B}$. On applying the theory of orthogonal polynomials, the eigenvalue equation and eigenfunctions are shown to…

Quantum Physics · Physics 2013-10-21 Alexander Moroz

So far the Bloch-Siegert shift of the Rabi model has only been calculated numerically or by means of perturbation theory valid in either the weak or strong driving regime only. Recently Yan, L\"u, and Zheng [Phys.~Rev.~A {\bf 91}, 053834…

Quantum Physics · Physics 2020-07-21 K. Rapedius

We obtain the exceptional part of the eigenspectrum of the generalised Rabi model, also known as the driven Rabi model, in terms of the roots of a set of algebraic equations. This approach provides a product form for the wavefunction…

Quantum Physics · Physics 2015-10-21 Zi-Min Li , Murray T. Batchelor

This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for…

Quantum Physics · Physics 2017-02-21 Qiongtao Xie , Honghua Zhong , Murray T. Batchelor , Chaohong Lee

The Rabi oscillations of a two-level atom illuminated by a laser on resonance with the atomic transition may be suppressed by the atomic motion through averaging or filtering mechanisms. The optical analogs of these velocity effects are…

Quantum Physics · Physics 2009-11-11 J. G. Muga , B. Navarro

Rabi oscillations are coherent transitions in a quantum two-level system under the influence of a resonant perturbation, with a much lower frequency dependent on the perturbation amplitude. These serve as one of the signatures of quantum…

Superconductivity · Physics 2008-07-14 S. N. Shevchenko , A. N. Omelyanchouk , A. M. Zagoskin , S. Savel'ev , F. Nori

In this paper we consider a general model of an atom with n energy levels interacting with n-1 external (laser) fields which is a natural extension in the two and three level systems. We exactly solve the Schr{\" o}dinger equation to obtain…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii , Kyoko Higashida , Ryosuke Kato , Yukako Wada

Using extended coherent states, an analytically exact study has been carried out for the quantum Rabi model with two equivalent qubits. Compact transcendental functions of one variable have been derived leading to exact solutions. The…

Quantum Physics · Physics 2015-06-18 Hui Wang , Shu He , Liwei Duan , Yang Zhao , Qing-Hu Chen

The spin-orbit interaction in spin qubits enables spin-flip transitions, resulting in Rabi oscillations when an external microwave field is resonant with the qubit frequency. Here, we introduce an alternative driving mechanism of hole spin…