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This paper presents analytic formulas for various transition times in the Landau-Zener model. Considerable differences are found between the transition times in the diabatic and adiabatic bases, and between the jump time (the time for which…

量子物理 · 物理学 2009-10-31 N. V. Vitanov

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

统计力学 · 物理学 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

We investigate the dynamic evolution and thermodynamic process of a driven quantum system immersed in a finite-temperature heat bath. A Born-Markovian quantum master equation is formally derived for the time-dependent system with discrete…

量子物理 · 物理学 2021-09-08 Dan Wang , Dazhi Xu

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

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…

介观与纳米尺度物理 · 物理学 2020-04-01 Ruofan Chen

We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between…

统计力学 · 物理学 2016-06-22 Felipe Barra , Massimiliano Esposito

A population transfer based on adiabatic evolutions in a three-state system undergoing an avoided crossing is considered. The efficiency of the process is analyzed in connection with the relevant parameters, bringing to light an important…

量子物理 · 物理学 2019-03-27 Benedetto Militello

We study dissipative phase transitions in a system of two coupled fully-connected quantum Ising models interacting with an environment. The dynamics is governed by a Lindblad master equation combining coherent unitary evolution and…

统计力学 · 物理学 2026-05-01 Bidyut Dey , Andrea Nava , Domenico Giuliano

The Landau--Zener (LZ) type classical-trajectory surface-hopping algorithm is applied to the nonadiabatic nuclear dynamics of the ammonia cation after photoionization of the ground-state neutral molecule to the excited states of the cation.…

化学物理 · 物理学 2015-06-23 Andrey K. Belyaev , Wolfgang Domcke , Caroline Lasser , Giulio Trigila

We characterize nonequilibrium phases in long-range dissipative spin systems through the statistical properties of quantum jump trajectories. While the average dynamics governed by the Lindblad master equation provides access to…

量子物理 · 物理学 2026-05-14 Giulia Salatino , Anna Delmonte , Zejian Li , Rosario Fazio , Alberto Biella

We first use the quantum method to replicate the well-known results of a single atom relaxing, whilst demonstrating the intuitive picture it provides for dissipative dynamics. By use of individual "quantum trajectories", the method allows…

量子物理 · 物理学 2022-02-10 Charles A. McDermott

We apply the quantum jump approach to address the statistics of work in a driven two-level system coupled to a heat bath. We demonstrate how this question can be analyzed by counting photons absorbed and emitted by the environment in…

量子物理 · 物理学 2015-06-16 F. W. J. Hekking , J. P. Pekola

We study the effect of an environment consisting of noninteracting two level systems on Landau-Zener transitions with an interest on the performance of an adiabatic quantum computer. We show that if the environment is initially at zero…

介观与纳米尺度物理 · 物理学 2009-06-17 Andy T. S. Wan , M. H. S. Amin , Shannon X. Wang

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…

介观与纳米尺度物理 · 物理学 2011-07-19 Peter Nalbach , Michael Thorwart

We describe a quantum trajectories technique for the unraveling of the quantum adiabatic master equation in Lindblad form. By evolving a complex state vector of dimension $N$ instead of a complex density matrix of dimension $N^2$,…

量子物理 · 物理学 2024-01-17 Ka Wa Yip , Tameem Albash , Daniel A. Lidar

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…

量子气体 · 物理学 2015-06-12 N. A. Sinitsyn

Non-Hermitian quantum systems with explicit time dependence are of ever-increasing importance. There are only a handful of models that have been analytically studied in this context. Here, a PT-symmetric non-Hermitian $N$-level Landau-Zener…

量子物理 · 物理学 2022-07-27 Rishindra Melanathuru , Simon Malzard , Eva-Maria Graefe

We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

量子物理 · 物理学 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

Quantum computation by the adiabatic theorem requires a slowly varying Hamiltonian with respect to the spectral gap. We show that the Landau-Zener-St\"uckelberg oscillation phenomenon, that naturally occurs in quantum two level systems…

量子物理 · 物理学 2019-10-23 Yosi Atia , Yonathan Oren , Nadav Katz

We propose a modified non-Markovian quantum jump method to overcome the obstacle of dramatically increased trajectory number in conventional quantum trajectory simulations. In our method the trajectories are classified into the trajectory…

量子物理 · 物理学 2025-12-17 Huanyuan Zhang , Jiasen Jin
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