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A non-perturbative treatment, the Dirac-Frenkel time-dependent variation is employed to examine dynamics of the Landau-Zener model with both diagonal and off-diagonal qubit-bath coupling using the multiple Davydov trial states. It is shown…

Quantum Physics · Physics 2018-01-04 Zhongkai Huang , Yang Zhao

New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations utilized in experimental studies. The exact formulas give an…

Quantum Physics · Physics 2024-03-07 Jorge G. Russo , Miguel Tierz

We study the evolution with magnetic field of the single-particle energy levels high up in the energy spectrum of one dot as probed by the ground state of the adjacent dot in a weakly coupled vertical quantum dot molecule. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Payette , D. G. Austing , G. Yu , J. A. Gupta , S. V. Nair , B. Partoens , S. Amaha , S. Tarucha

We investigate Landau-Zener processes modeled by a two-level quantum system, with its finite bias energy varied in time and in the presence of a single broadened cavity mode at zero temperature. By applying the hierarchy equation method to…

Quantum Physics · Physics 2016-02-03 Zhe Sun , Longwen Zhou , Gaoyang Xiao , Dario Poletti , Jiangbin Gong

We study the non-interacting time-dependent resonant level model mimicking a driven quantum dot connected through leads to two electronic reservoirs held at different temperatures and electrochemical potentials. Using a scattering approach,…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Adel Kara Slimane , Geneviève Fleury

Using three-pulse four-wave-mixing femtosecond spectroscopy, we excite a non-radiative coherence between the discrete Landau levels of an undoped quantum well and study its dynamics. We observe quantum beats that reflect the time evolution…

Mesoscale and Nanoscale Physics · Physics 2008-08-04 K. M. Dani , I. A. Cotoros , J. Wang , J. Tignon , D. S. Chemla , E. G. Kavousanaki , I. E. Perakis

The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited. We rederive the transition probability, known as the Landau-Zener-St\"{u}ckelberg-Majorana formula, and introduce Majorana's…

Quantum Physics · Physics 2024-08-20 Polina O. Kofman , Oleh V. Ivakhnenko , Sergey N. Shevchenko , Franco Nori

Landau-Zener transition (LZT) has been explored in a variety of physical systems for coherent population transfer between different quantum states. In recent years, there have been various proposals for applying LZT to quantum information…

Mesoscale and Nanoscale Physics · Physics 2015-03-03 Guozhu Sun , Xueda Wen , Ming Gong , Dan-Wei Zhang , Yang Yu , Shi-Liang Zhu , Jian Chen , Peiheng Wu , Siyuan Han

We study the dynamics of a quantum two state system driven through an avoided crossing under the influence of a super Ohmic environment, i.e. a longitudinal as well as a transversal one. The crossing time window, in which relaxation…

Quantum Physics · Physics 2021-05-11 Peter Nalbach

We present experimental results on the preparation of a desired quantum state in a two-level system with the maximum possible fidelity using driving protocols ranging from generalizations of the linear Landau-Zener protocol to…

Quantum Physics · Physics 2012-11-08 N. Malossi , M. G. Bason , M. Viteau , E. Arimondo , R. Mannella , O. Morsch , D. Ciampini

We study stationary and dynamical properties of the many-body Landau-Zener dynamics of a Bose quantum fluid confined in two coupled one-dimensional chains, using a many-body generalization recently reported [Y.-A. Chen et al.], within the…

Quantum Gases · Physics 2012-07-10 Santiago F. Caballero-Benitez , Rosario Paredes

We investigate multiple photon-assisted Landau-Zener (LZ) transitions in a hybrid circuit quantum electrodynamics device in which each of two interacting transmission-line resonators is coupled to a qubit, and the qubits are driven by…

Quantum Physics · Physics 2021-01-25 Fulu Zheng , Yuejun Shen , Kewei Sun , Yang Zhao

At high magnetic fields and low temperatures, numerous extreme type-II superconductors exhibit Landau quantization of electronic motion. We present an analytic construction of the quasiparticle spectrum in this regime, based on the…

Superconductivity · Physics 2007-05-23 Zlatko Tesanovic , Pedro D. Sacramento

The properties of a two-dimensional electron are investigated in the presence of a circular step magnetic field profile. Both electrons with parabolic dispersion as well as Dirac electrons with linear dispersion are studied. We found that…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 M. Ramezani Masir , A. Matulis , F. M. Peeters

We present statistics of quantum jumps in the two-level system with landau-Zener Hamiltonian that undergoes a Markovian process. For the Landau-Zener model, which is successful in simulating adiabatic/non-adiabatic evolution and quantum…

Quantum Physics · Physics 2024-11-05 Laleh Memarzadeh , Rosario Fazio

The relationship between the Landau-Zener model (which describes transitions between energy levels for a time-dependent Hamiltonian) and non-secular master equations is discussed. This approach allows to describe the widely discussed in the…

Quantum Physics · Physics 2022-10-26 S. V. Kozyrev

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…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Amro Dodin , Savannah Garmon , Lena Simine , Dvira Segal

We present two approaches to the dynamics of a quench-induced phase transition in quantum Ising model. The first one retraces steps of the standard approach to thermodynamic second order phase transitions in the quantum setting. The second…

Statistical Mechanics · Physics 2008-11-26 Wojciech H. Zurek , Uwe Dorner , Peter Zoller

We consider the model of quantum dots interacting with coherent radiation when the relaxation processes may be neglected. The system under investigation consists of two discrete energy levels of the quantum dots in the presence of strong…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey Maimistov , Elena Kazantseva , Sergei Elyutin

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 $e^{-\pi\frac{\varepsilon^{2}}{h}}$,…

Mathematical Physics · Physics 2021-03-15 Takuya Watanabe , Maher Zerzeri