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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

We revisit the issue of thermally assisted quantum annealing by a detailed study of the dissipative Landau-Zener problem in presence of a Caldeira-Leggett bath of harmonic oscillators, using both a weak-coupling quantum master equation and…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Luca Arceci , Simone Barbarino , Rosario Fazio , Giuseppe E. Santoro

We study a qubit undergoing Landau-Zener transitions enabled by the coupling to a circuit-QED mode. Summing an infinite-order perturbation series, we determine the exact nonadiabatic transition probability for the qubit, being independent…

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

A qubit may undergo Landau-Zener transitions due to its coupling to one or several quantum harmonic oscillators. We show that for a qubit coupled to one oscillator, Landau-Zener transitions can be used for single-photon generation and for…

Mesoscale and Nanoscale Physics · Physics 2007-10-31 Martijn Wubs , Sigmund Kohler , Peter Hanggi

We report an experimental measurement of Landau-Zener transitions on an individual flux qubit within a multi-qubit superconducting chip designed for adiabatic quantum computation. The method used isolates a single qubit, tunes its tunneling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. Johansson , M. H. S. Amin , A. J. Berkley , P. Bunyk , V. Choi , R. Harris , M. W. Johnson , T. M. Lanting , Seth Lloyd , G. Rose

Landau-Zener tunneling, which describes the transition in a two-level system during a sweep through an anti-crossing, is a model applicable to a wide range of physical phenomena. Realistic quantum systems are affected by dissipation due to…

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

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

We investigate the influence of temperature and dissipation on the Landau-Zener transition probability in circuit QED. Dissipation is modelled by coupling the transmission line to a bath of harmonic oscillators. The reduced description for…

Quantum Physics · Physics 2008-12-01 David Zueco , Peter Hänggi , Sigmund Kohler

We analyze the dynamics and final populations in a Landau-Zener problem for a two level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state.…

Quantum Physics · Physics 2014-12-18 S. Ashhab

We determine transition probabilities in two exactly solvable multistate Landau-Zener (LZ) models and discuss applications of our results to the theory of dynamic passage through a phase transition in the dissipationless quantum mechanical…

Quantum Gases · Physics 2015-06-12 N. A. Sinitsyn

We consider an adiabatic Landau-Zener model of two-level system diagonally coupled to an Ohmic bosonic bath of large spectral width and derive through fermionization its exact solution at a special value of the coupling constant. From this…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 V. V. Ponomarenko

We study the transitions between neighboring energy levels in a quasi-one-dimensional semiconductor quantum dot with two interacting electrons in it, when it is subject to a linearly time-dependent electric field. We analyze the…

Strongly Correlated Electrons · Physics 2009-12-03 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have finitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of…

Quantum Physics · Physics 2016-12-12 Dorje C. Brody , Lane P. Hughston

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…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 M. E. Raikh

The transition dynamics of two-state systems with time-dependent energy levels, first considered by Landau, Zener, Majorana, and St\"uckelberg, is one of the basic models in quantum physics and has been used to describe various physical…

Quantum Physics · Physics 2025-06-27 Jonas R. F. Lima , Guido Burkard

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

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 Landau-Zener transitions in a dissipative environment by means of the numerically exact quasiadiabatic propagator path-integral. It allows to cover the full range of the involved parameters. We discover a nonmonotonic dependence of…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Peter Nalbach , Michael Thorwart

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
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