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The interaction of qubits with quantized modes of electromagnetic fields has been largely addressed in the quantum optics literature under the rotating wave approximation (RWA), where rapid oscillating terms in the qubit-mode interaction…

Quantum Physics · Physics 2017-06-06 P. C. Cárdenas , W. S. Teixeira , F. L. Semião

We study the properties of a driven cavity coupled to several qubits in the framework of a dissipative Jaynes-Cummings model. We show that the rotating wave approximation (RWA) allows to reduce the description of original driven model to an…

Quantum Physics · Physics 2024-05-14 A. D. Chepelianskii , D. L. Shepelyansky

The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we…

Quantum Physics · Physics 2024-02-21 Daniel Burgarth , Paolo Facchi , Robin Hillier , Marilena Ligabò

Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave…

Quantum Physics · Physics 2020-10-16 Wenkui Ding , Xiaoguang Wang

We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the…

Quantum Physics · Physics 2010-08-31 David Zueco , Georg M. Reuther , Sigmund Kohler , Peter Hänggi

In this note I introduce a mysterious approximation called the rotating wave approximation (RWA) to undergraduates or non-experts who are interested in both Mathematics and Quantum Optics. In Quantum Optics it plays a very important role in…

Quantum Physics · Physics 2014-05-26 Kazuyuki Fujii

The rotating wave approximation (RWA) plays a central role in the quantum dynamics of two-level systems. We derive corrections to the RWA using the renormalization group approach to asymptotic analysis. We study both the Rabi and…

Quantum Physics · Physics 2023-11-07 Peng Wang , Erik Hiltunen , John C Schotland

We examine the validity of the rotating wave approximation (RWA) in non-adiabatic holonomic single-qubit gates [New J. Phys. {\bf 14}, 103035 (2012)]. We demonstrate that the adoption of RWA may lead to a sharp decline in fidelity for rapid…

Quantum Physics · Physics 2013-11-22 Jakob Spiegelberg , Erik Sjöqvist

We consider a simple model of a Josephson junction phase qubit coupled to a solid-state nanoelectromechanical resonator. This and many related qubit-resonator models are analogous to an atom in an electromagnetic cavity. When the systems…

Quantum Physics · Physics 2009-11-10 Andrew T. Sornborger , Andrew N. Cleland , Michael R. Geller

Microwave-frequency superconducting resonators are ideally suited to perform dispersive qubit readout, to mediate two-qubit gates, and to shuttle states between distant quantum systems. A prerequisite for these applications is a strong…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Félix Beaudoin , Dany Lachance-Quirion , W. A. Coish , Michel Pioro-Ladrière

Rotating wave approximation (RWA) plays a key rule in quantum optics to solve some Schr\"{o}dinger equation approximately. For example, it is well known that RWA has been used to calculate the transition probability. However, so far no one…

Quantum Physics · Physics 2016-04-29 Dafa Li , Yanjun Hao

The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms…

Quantum Physics · Physics 2015-01-14 Yu-Yu Zhang , Qing-Hu Chen

Driving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating wave approximation (RWA) is a good approximation technique for weak and nearly-resonance driven fields. However,…

Quantum Physics · Physics 2021-07-07 Byoung-moo Ann , Wouter Kessels , Gary. A. Steele

Periodically-driven oscillators are commonly described in a frame co-rotating with the drive and using the rotating-wave approximation (RWA). This description, however, is known to induce errors for off-resonant driving. Here we show that…

Quantum Physics · Physics 2022-11-22 Jan Košata , Anina Leuch , Tobias Kästli , Oded Zilberberg

We study the effect of a time-dependent driving field with a large amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating wave approximation (RWA) makes it possible to find simple conditions for…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 A. M. Satanin , M. V. Denisenko , Sahel Ashhab , Franco Nori

We present a novel approach called the intermediate rotating wave approximation (IRWA), which employs a time-averaging method to encapsulate the dynamics of light-matter interaction from strong to ultrastrong coupling regime. In contrast to…

Quantum Physics · Physics 2015-02-11 Yimin Wang , Jing Yan Haw

The generalized rotating-wave approximation with counter-rotating interactions has been applied to a biased qubit-oscillator system. Analytical expressions are explicitly given for all eigenvalues and eigenstates. For a flux qubit coupled…

Quantum Physics · Physics 2013-07-23 Yu-Yu Zhang , Qing-Hu Chen , Yang Zhao

The damped harmonic oscillator is a workhorse for the study of dissipation in quantum mechanics. However, despite its simplicity, this system has given rise to some approximations whose validity and relation to more refined descriptions…

Quantum Physics · Physics 2009-10-31 M. Rosenau da Costa , A. O. Caldeira , S. M. Dutra , H. Westfahl

The single-mode spin-boson model exhibits behavior not included in the rotating wave approximation (RWA) in the ultra and deep-strong coupling regimes, where counter-rotating contributions become important. We introduce a symmetric rotating…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Victor V. Albert , Gregory D. Scholes , Paul Brumer

Single-qubit gates are in many quantum platforms applied using a linear drive resonant with the qubit transition frequency which is often theoretically described within the rotating-wave approximation (RWA). However, for fast gates on…

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