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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

We study Rabi oscillations of the second-order Raman transition realized on dressed states of a qubit excited by an amplitude-modulated microwave field. The co-rotating component of the ultrastrong low-frequency modulation field excites…

Quantum Physics · Physics 2020-02-18 A. P. Saiko , S. A. Markevich , R. Fedaruk

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 investigate the bias-modulated dynamics of a strongly driven two-level system using the counter-rotating-hybridized rotating-wave (CHRW) method. This CHRW method treats the driving field and the bias on equal footing by a unitary…

Quantum Physics · Physics 2016-03-23 Zhiguo Lü , Yiying Yan , Hsi-Sheng Goan , Hang Zheng

We investigate the dynamics of a driven two-level system (classical Rabi model) using the counter-rotating-hybridized rotating wave method (CHRW), which is a simple method based on a unitary transformation with a parameter $\xi$. This…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Zhiguo Lü , Hang Zheng

We study the coherent dynamics of relaxing qubits driven by a bichromatic radiation in the dispersive regime, when detuning of the frequency $\omega_{rf}$ of a longitudinal radiofrequency field from the Rabi frequency $\omega_{1}$ in a…

Mesoscale and Nanoscale Physics · Physics 2012-06-19 A. P. Saiko , R. Fedaruk , A. Kolasa , S. A. Markevich

In the framework of the non-secular perturbation theory based on the Bogoliubov averaging method, the coherent dynamics of multiphoton Raman transitions in a two-level spin system driven by an amplitude-modulated microwave field is studied.…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 A. P. Saiko , S. A. Markevich , R. Fedaruk

We present an interesting dynamical temporal localization of a strongly driven two-level system (TLS), a plateau with quantized oscillation, by an analytical and transparent method, the counter-rotating-hybridized rotating-wave (CHRW)…

Quantum Physics · Physics 2020-12-02 Yejia Chen , Zhiguo Lü , Yiying Yan , Hang Zheng

We generalize the Schrieffer-Wolff transformation to periodically driven systems using Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi-Hubbard model, for which we identify two regimes resulting…

Quantum Gases · Physics 2016-03-29 Marin Bukov , Michael Kolodrubetz , Anatoli Polkovnikov

The dynamics of multiphoton transitions in a two-level spin system excited by transverse microwave and longitudinal RF fields with the frequencies w_{mw} and w_{rf}, respectively, is analyzed. The effective time-independent Hamiltonian…

Materials Science · Physics 2007-05-23 A. P. Saiko , G. G. Fedoruk , S. A. Markevich

We theoretically study coherent subharmonic (multi-photon) transitions of a harmonically driven spin. We consider two cases: magnetic resonance (MR) with a misaligned, i.e., non-transversal driving field, and electrically driven spin…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Judit Romhányi , Guido Burkard , András Pályi

Multiplication of spin qubits arises at double resonance in a bichromatic field when the frequency of the radio-frequency (rf) field is close to that of the Rabi oscillation in the microwave field, provided its frequency equals the Larmor…

Mesoscale and Nanoscale Physics · Physics 2010-12-13 A. P. Saiko , R. Fedaruk

EPR transient nutation spectroscopy is used to measure the effective field (Rabi frequency) for multiphoton transitions in a two-level spin system bichromatically driven by a transverse microwave (MW) field and a longitudinal…

Materials Science · Physics 2007-12-13 A. P. Saiko , G. G. Fedoruk , S. A. Markevich

The dynamics of a two-level spin system dressed by bichromatic radiation is studied under the conditions of double resonance when the frequency of one (microwave) field is equal to the Larmor frequency of the spin system and the frequency…

Materials Science · Physics 2009-11-13 A. P. Saiko , G. G. Fedoruk

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

Resonant driving enables coherent control of quantum systems, including single and coupled qubits. From a complementary perspective, transitions of a quantum system can be exploited for the detection of microwave photons. In this work, we…

Quantum Physics · Physics 2026-03-31 O. A. Ilinskaya , S. N. Shevchenko

We construct a systematic high-frequency expansion for periodically driven quantum systems based on the Brillouin-Wigner (BW) perturbation theory, which generates an effective Hamiltonian on the projected zero-photon subspace in the Floquet…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Takahiro Mikami , Sota Kitamura , Kenji Yasuda , Naoto Tsuji , Takashi Oka , Hideo Aoki

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

Modern superconducting and semiconducting quantum hardware use external charge and microwave flux drives to both tune and operate devices. However, each external drive is susceptible to low-frequency (e.g., $1/f$) noise that can drastically…

Recently there has been theoretical and experimental interest in Bloch-Siegert shifts in an intense photon field. A perturbative treatment becomes difficult in this multiphoton regime. We present a unitary transform and rotated model, which…

Quantum Physics · Physics 2007-09-14 Peter L. Hagelstein , Irfan U. Chaudhary
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