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The Landau-Zener transition in a two level system can be suppressed or enhanced by coupling to an environment, depending on the temperature and the environment spectral function. We consider the marginal spectral function, when the…

Statistical Mechanics · Physics 2007-05-23 A. V. Shytov

We study Landau-Zener transitions in a fermionic dissipative environment where a two-level (up and down states) system is coupled to two metallic leads kept with different chemical potentials at zero temperature. The dynamics of the system…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Ruofan Chen

Quantum-mechanical systems having two discrete energy levels are ubiquitous in nature. For crossing energy levels, depending on how fast they approach each other, there is a possibility of a transition between them. This phenomenon is known…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Mika Sillanpaa , Teijo Lehtinen , Antti Paila , Yuriy Makhlin , Pertti Hakonen

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 consider the Landau-Zener problem for a multilevel quantum system that is coupled to an external environment. In particular, we consider a number of cases of three-level systems coupled to a harmonic oscillator that represents the…

Quantum Physics · Physics 2016-10-19 S. Ashhab

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Peter Krenn , Jörg P. Kotthaus , Eva M. Weig

We calculate the exact Landau-Zener transitions probabilities for a qubit with arbitrary linear coupling to a bath at zero temperature. The final quantum state exhibits a peculiar entanglement between the qubit and the bath. In the special…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martijn Wubs , Keiji Saito , Sigmund Kohler , Peter Hänggi , Yosuke Kayanuma

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

Nonequilibrium dynamics and effective thermalization are studied in a resonant tunneling scenario via multilevel Landau-Zener crossings. Our realistic many-body system, composed of two energy bands, naturally allows a separation of degrees…

Quantum Gases · Physics 2014-05-19 Carlos A. Parra-Murillo , Javier Madroñero , Sandro Wimberger

The Landau-Zener(LZ) transition of a two-level system coupling to spin chains near their critical points is studied in this paper. Two kinds of spin chains, the Ising spin chain and XY spin chain, are considered. We calculate and analyze…

Quantum Physics · Physics 2009-11-13 L. C. Wang , X. L. Huang , X. X. Yi

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Martijn Wubs , Sigmund Kohler , Yosuke Kayanuma , Peter Hanggi

Increasing and stabilizing the coherence of superconducting quantum circuits and resonators is of utmost importance for various technologies ranging from quantum information processors to highly sensitive detectors of low-temperature…

Disordered Systems and Neural Networks · Physics 2021-04-09 Shlomi Matityahu , Hartmut Schmidt , Alexander Bilmes , Alexander Shnirman , Georg Weiss , Alexey V. Ustinov , Moshe Schechter , Jürgen Lisenfeld

Motivated by recent realizations of qubits with a readout by macroscopic quantum tunneling in a Josephson junction, we study the problem of barrier penetration in presence of coupling to a spin-${1\over 2}$ system. It is shown that when the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Joachim Ankerhold , Hermann Grabert

A two-level system traversing a level anticrossing has a small probability to make a so-called Landau-Zener (LZ) transition between its energy bands, in deviation from simple adiabatic evolution. This effect takes on renewed relevance due…

We study Landau-Zener macroscopic quantum transitions in ferromagnetic metal nanoparticles containing on the order of 100 atoms. The model that we consider is described by an effective giant-spin Hamiltonian, with a coupling to a random…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. G. Benza , C. M. Canali , G. Strini

We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalises the dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath couplings. We…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Philip J D Crowley , A G Green

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

An innovative microscopic model with a minimal number of parameters: tunneling splitting gap, external field sweeping velocity, and decoherence rate is used to describe dynamics of the dissipative Landau-Zener transition in the presence of…

Quantum Physics · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, {\em i}, to survive the transition and to remain in the first level, depends exponentially on the square of the tunnel matrix…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Rajesh K. Malla , M. E. Raikh

We present a detailed analysis of the Landau-Zener problem for an interacting Bose-Einstein condensate in a time-varying double-well trap, especially focussing on the relation between the full many-particle problem and the mean-field…

Quantum Physics · Physics 2010-10-04 F. Trimborn , D. Witthaut , V. Kegel , H. J. Korsch
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