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We study a two-level transition probability for a finite number of avoided crossings with a small interaction. Landau-Zener formula, which gives the transition probability for one avoided crossing as $e^{-\pi\frac{\varepsilon^{2}}{h}}$,…

数学物理 · 物理学 2021-03-15 Takuya Watanabe , Maher Zerzeri

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…

超导电性 · 物理学 2008-07-14 S. N. Shevchenko , A. N. Omelyanchouk , A. M. Zagoskin , S. Savel'ev , F. Nori

We demonstrate amplification (and attenuation) of a probe signal by a driven two-level quantum system in the Landau-Zener-St\"{u}ckelberg-Majorana regime by means of an experiment, in which a superconducting qubit was strongly coupled to a…

We control the current of a single particle quantum ratchet by designing ramping schemes for experimentally accessible control parameters. We harvest on Landau-Zener transitions between Floquet states. Adiabatic and diabatic ramping allow…

其他凝聚态物理 · 物理学 2009-11-13 L. Morales-Molina , S. Flach , J. B. Gong

We demonstrate that the general model of a linearly time-dependent crossing of two energy bands is integrable. Namely, the Hamiltonian of this model has a quadratically time-dependent commuting operator. We apply this property to four-state…

介观与纳米尺度物理 · 物理学 2021-04-14 Rajesh K. Malla , Vladimir Y. Chernyak , Nikolai A. Sinitsyn

We have numerically solved the Hamiltonian of an electron in a semiconductor double ring subjected to the magnetic flux and Rashba spin-orbit interaction. It is found that the Aharonov-Bohm energy spectrum reveals multi-zigzag periodic…

介观与纳米尺度物理 · 物理学 2007-05-23 Wen-Hsuan Kuan , Chi-Shung Tang , Cheng-Hung Chang

Non-adiabatic transitions are studied in a spin-boson model with multiple scattering points. In order to generalize the Landau-Zener formula, which describes the case of a single scattering point, we define an ``effective gap'' for a set of…

统计力学 · 物理学 2015-06-25 Hiroto Kobayashi , Naomichi Hatano , Seiji Miyashita

Superconducting circuit quantum electrodynamics (QED) architecture composed of superconducting qubit and resonator is a powerful platform for exploring quantum physics and quantum information processing. By employing techniques developed…

量子物理 · 物理学 2021-01-29 Zhi-Xuan Yang , Yi-Meng Zhang , Yu-Xuan Zhou , Li-Bo Zhang , Fei Yan , Song Liu , Yuan Xu , Jian Li

We study Landau-Zener transitions between two states with the addition of a shared discretized continuum. The continuum allows for population decay from the initial state as well as indirect transitions between the two states. The…

介观与纳米尺度物理 · 物理学 2014-07-23 Amro Dodin , Savannah Garmon , Lena Simine , Dvira Segal

Gibbs statistical mechanics is derived for the Hamiltonian system coupling self-consistently a wave to N particles. This identifies Landau damping with a regime where a second order phase transition occurs. For nonequilibrium initial data…

等离子体物理 · 物理学 2009-11-06 M. -C. Firpo , Y. Elskens

A conventional realization of quantum logic gates and control is based on resonant Rabi oscillations of the occupation probability of the system. This approach has certain limitations and complications, like counter-rotating terms. We study…

量子物理 · 物理学 2024-09-30 A. I. Ryzhov , O. V. Ivakhnenko , S. N. Shevchenko , M. F. Gonzalez-Zalba , Franco Nori

We consider the phase-transition-like behaviour in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly…

量子物理 · 物理学 2013-12-30 S. Ashhab

We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field (ZPF), with the purpose of revealing the mechanism that takes it from the initially classical description to the final…

量子物理 · 物理学 2022-03-23 Ana María Cetto , Luis de la Peña

An exactly solvable model for the decoherence of one and two-qubit states interacting with a spin-bath, in the presence of a time-dependent magnetic field is studied. The magnetic field is static along $\hat{z}$ direction and oscillatory in…

量子物理 · 物理学 2011-06-10 D. D. Bhaktavatsala Rao

We demonstrate how electric fields with arbitrary time profile can be used to control the time-dependent parameters of spin and orbital exchange Hamiltonians. Analytic expressions for the exchange constants are derived from a time-dependent…

强关联电子 · 物理学 2017-03-10 Martin Eckstein , Johan H. Mentink , Philipp Werner

We investigate the Landau-Zener tunneling (LZT) of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. In such a non-Hermitian system, when the energy bias between two levels is adjusted very…

量子物理 · 物理学 2022-12-19 Wen-Yuan Wang , Bin Sun , Jie Liu

Electron Paramagnetic Resonance experiments show that the decay of Rabi oscillations of ensembles of spin qubits depends noticeably on the microwave power and more precisely on the Rabi frequency, an effect recently called "driven…

量子物理 · 物理学 2015-06-03 H. De Raedt , B. Barbara , S. Miyashita , K. Michielsen , S. Bertaina , S. Gambarelli

We consider the transition of electron between two quantum dots in which the discrete levels are swept past each other with a constant velocity. If a direct tunneling between the dot levels was allowed, an electron will be transferred…

介观与纳米尺度物理 · 物理学 2022-08-17 M. E. Raikh

We investigate experimentally and theoretically the interference at avoided crossings which are repeatedly traversed as a consequence of an applied ac field. Our model system is a charge qubit in a serial double quantum dot connected to two…

介观与纳米尺度物理 · 物理学 2016-01-05 F. Forster , M. Mühlbacher , R. Blattmann , D. Schuh , W. Wegscheider , S. Ludwig , S. Kohler

We study Landau-Zener transitions in a qubit coupled to a bath at zero temperature. A general formula is derived that is applicable to models with a non-degenerate ground state. We calculate exact transition probabilities for a qubit…

介观与纳米尺度物理 · 物理学 2009-11-13 Keiji Saito , Martijn Wubs , Sigmund Kohler , Yosuke Kayanuma , Peter Hanggi