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In this work, the anisotropic quantum Rabi model with different coupling strengths of the rotating-wave and counter-rotating wave terms is studied by using two kinds of extended coherent states (ECS). By the first kind of ECS, we can derive…

Quantum Physics · Physics 2015-02-03 Liwei Duan , Qing-Hu Chen

The equations of motion of planar elliptic restricted three body problem are transformed to four decoupled Hill's equations. By using the Floquet theorem analytic solution to the oscillator equations with time dependent periodic…

Earth and Planetary Astrophysics · Physics 2021-05-26 B. Boldizsár , T. Kovács , J. Vanyó

Various aspects of dissipative and nondissipative decoherence of Rabi oscillations are discussed in the context of field quantization in alternative representations of CCR. Theory is confronted with experiment, and a possibility of more…

Quantum Physics · Physics 2008-11-26 Marek Czachor , Marcin Wilczewski

Quantum vortices are the quantized version of classical vortices. Their center is a phase singularity or vortex core around which the flow of particles as a whole circulates and is typical in superfluids, condensates and optical fields.…

An unsteady problem is considered for a space-fractional diffusion equation in a bounded domain. A first-order evolutionary equation containing a fractional power of an elliptic operator of second order is studied for general boundary…

Numerical Analysis · Computer Science 2014-12-19 Petr N. Vabishchevich

Dissipative dynamics of a quantum bit driven by a strong resonant field and interacting with a heat bath is investigated. We derive generalized Bloch equations and find modifications of the qubit's damping rates caused by Rabi oscillations.…

Condensed Matter · Physics 2009-11-07 Anatoly Yu. Smirnov

Coherent control of a quantum mechanical two-level system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. Among the most prominent phenomena in quantum coherent control are Rabi…

Quantum Physics · Physics 2015-06-23 Martin Frimmer , Lukas Novotny

The polaron picture is employed to investigate and elucidate the physics of the two-qubit quantum Rabi model, which describes two identical qubits coupled to a common harmonic oscillator. This approach enables us to obtain the ground-state…

Quantum Physics · Physics 2020-07-01 Xi-Mei Sun , Lei-Cong , Hans-Peter Eckle , Zu-Jian Ying , Hong-Gang Luo

Rabi flopping between Bloch bands induced by a weak ac resonant field is a coherent effect involving interband transitions. Here we consider the fundamental processes of emission/absorption of quanta and Rabi oscillations in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Ching Hua Lee , Stefano Longhi

We have observed Rabi-like oscillations in a current-biased dc SQUID presenting enhanced coherence times compared to our previous realization \cite{Claudon_PRL04}. This Josephson device behaves as an anharmonic oscillator which can be…

Mesoscale and Nanoscale Physics · Physics 2009-01-13 Julien Claudon , Alex Zazunov , Frank W. J. Hekking , Olivier Buisson

The decay of Rabi oscillations provides direct information about coherence of electron spins. When observed in EPR experiments, it is often shortened by spatial inhomogeneity of the microwave field amplitude in a bulk sample. In order to…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 A. P. Saiko , R. Fedaruk , S. A. Markevich

We investigate a superconducting circuit consisting of multiple capacitively-coupled charge qubits. The collective Rabi oscillation of qubits is numerically studied in detail by imitating environmental fluctuations according to the…

Quantum Physics · Physics 2018-09-06 Deshui Yu , Leong Chuan Kwek , Rainer Dumke

Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space. The analytical expressions for the complete energy spectrum…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Degang Zhang

The quantum Rabi model accepts analytical solutions in the so-called degenerate qubit and relativistic regimes with discrete and continuous spectrum, in that order.We show that solutions in the laboratory frame are the superposition of even…

Quantum Physics · Physics 2019-07-09 F. H. Maldonado-Villamizar , C. Huerta Alderete , B. M. Rodríguez-Lara

The interaction of a quantum two-level system with a resonant driving field results in the emergence of Rabi oscillations, which are the hallmark of a controlled manipulation of a quantum state on the Bloch sphere. This all-optical coherent…

Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping…

Analysis of PDEs · Mathematics 2020-05-15 Ferenc Izsák , Gábor Maros

Optically trapped ultracold polar molecules can have multiple long-lived states for coding quantum information, and can exhibit electric dipole-dipole interactions~(DDI) which enables entanglement generation. The general understanding on…

Quantum Physics · Physics 2026-05-25 Yan Lu , Xiao-Feng Shi

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

We show how, beginning with the Fokker--Planck equation for electrons emitting synchrotron radiation in a storage ring, the corresponding equation for spin motion can be constructed. This is an equation of the Bloch type for the…

Accelerator Physics · Physics 2011-04-20 K. Heinemann , D. P. Barber

We investigate the possibility of using a Rabi drive to tune the interactions in an atomic Fermi gas. Specifically, we consider the scenario where two fermion species (spins) are Rabi coupled and interacting with a third uncoupled species.…

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