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We demonstrate that four-wave mixing processes in high-quality non-linear resonators can lead to Rabi-like oscillations in photon occupation numbers and second-order correlation functions, being a characteristic feature of the presence of…

Quantum Physics · Physics 2016-03-01 Y. Sherkunov , David M. Whittaker , Vladimir Falko

We investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment naturally includes the additional…

Condensed Matter · Physics 2009-10-31 Alice Sinatra , Yvan Castin

For a Bose condensate in a double-well potential or with two Josephson-coupled internal states, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest the existence of a joint…

Quantum Physics · Physics 2009-10-31 Yu Shi

Vacuum Rabi splitting is observed in a coupled qubit-resonator system consisting of a GaAs double quantum dot and a coplanar waveguide resonator. Derived values of the qubit-resonator coupling strength and the decoherence rate indicate…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 H. Toida , T. Nakajima , S. Komiyama

We investigate phase separation and hidden vortices in spin-orbit coupled ferromagnetic BoseEinstein condensates with rotation and Rabi coupling. The hidden vortices are invisible in density distribution but are visible in phase…

Quantum Gases · Physics 2018-02-02 Ji Li , Yan-Mei Yu , Kai-Jun Jiang , Wu-Ming Liu

We explore the many-body phases of a two-dimensional Bose-Einstein condensate with cavity-mediated dynamic spin-orbit coupling. By the help of two transverse non-interfering, counterpropagating pump lasers and a single standing-wave cavity…

Quantum Gases · Physics 2021-02-10 Stefan Ostermann , Helmut Ritsch , Farokh Mivehvar

Numerically we investigate the ground state of effective one-dimensional spin-orbit (SO) and Rabi coupled two pseudo-spinor Bose-Einstein condensates (BECs) under the effect of harmonic traps. For both signs of the interaction, density…

Quantum Gases · Physics 2018-01-17 Emerson Chiquillo

Laser induced transitions between internal states of atoms have been playing a fundamental role to manipulate atomic clouds for many decades. In absence of interactions each atom behaves independently and their coherent quantum dynamics is…

Quantum Gases · Physics 2017-10-20 Alberto Cappellaro , Tommaso Macrì , Giovanni F. Bertacco , Luca Salasnich

The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when the bosonic mode is soft and subject to damping. We show…

Quantum Physics · Physics 2026-01-28 Mingyu Kang , Yikang Zhang , Kenneth R. Brown , Thomas Barthel

We examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We study the phase-sensitivity of collisional phase-diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak-coupling is allowed, zero relative phase locking is…

Other Condensed Matter · Physics 2015-05-13 Erez Boukobza , Maya Chuchem , Doron Cohen , Amichay Vardi

In this series of papers, we investigate coupled systems arising in the study of two-component Bose--Einstein condensates, and we establish classification results for solutions of De Giorgi conjecture type. In the first paper of the series,…

Analysis of PDEs · Mathematics 2025-12-24 Leyun Wu , Chilin Zhang

We introduce the cross-cavity quantum Rabi model describing the interaction of a single two-level system with two orthogonal boson fields and propose its quantum simulation by two-dimensional, bichromatic, first-sideband driving of a single…

Quantum Physics · Physics 2016-10-12 C. Huerta Alderete , B. M. Rodríguez-Lara

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

Recent experiments on Bose--Einstein condensates in optical cavities have reported a quantum phase transition to a coherent state of the matter-light system -- superradiance. The time dependent nature of these experiments demands…

Quantum Gases · Physics 2010-08-17 J. Keeling , M. J. Bhaseen , B. D. Simons

We study the dynamics of non-autonomous bright-dark matter-wave solitons in two- and three- component Bose-Einstein condensates. Our setting includes a time-dependent parabolic potential and scattering length, as well as Rabi coupling of…

Pattern Formation and Solitons · Physics 2013-11-27 T. Kanna , R. Babu Mareeswaran , F. Tsitoura , H. E. Nistazakis , D. J. Frantzeskakis

We investigate the dynamical phase transition of two-component Bose-Einstein condensate with nonlinear tunneling, which is trapped inside a double-well and dispersively coupled to a single mode of a high-finesse optical cavity with one…

Quantum Physics · Physics 2018-08-01 Qing Li , Lei Tan , Jin-Lou Ma , Huai-Qiang Gu , Yun-Xia Shi , Wu-Ming Liu

We explore the paired superfluid phases of a Fermi gas in the presence of a continuous Rabi drive. We focus on the case where two components are strongly coupled by the drive, forming hybrid superpositions, and interacting with an uncoupled…

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