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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

Effects of a periodic driving field on Landau-Zener processes are studied using a nonlinear two-mode model that describes the mean-field dynamics of a many-body system. A variety of different dynamical phenomena in different parameter…

Other Condensed Matter · Physics 2009-11-13 Qi Zhang , Peter Hanggi , Jiangbin Gong

We study the Landau-Zener (LZ) dynamics in a setup of two Rydberg atoms with time-dependent detuning, both linear and periodic, using both the exact numerical calculations as well as the method of adiabatic impulse approximation (AIA). By…

Quantum Physics · Physics 2020-07-02 Ankita Niranjan , Weibin Li , Rejish Nath

We study Landau-Zener-Stuckelberg (LZS) interferometry in multilevel systems coupled to an Ohmic quantum bath. We consider the case of superconducting flux qubits driven by a dc+ac magnetic fields, but our results can apply to other similar…

Superconductivity · Physics 2016-03-09 Alejandro Ferron , Daniel Dominguez , Maria Jose Sanchez

We investigate the time evolution of a non-resonant dressed-atom qubit in an XZ original configuration. It is composed of two electromagnetic fields, one oscillating parallel and the other orthogonal to the quantisation magnetic static…

By quickly modifying the shape of the effective potential of a double SQUID flux qubit from a single-well to a double-well condition, we experimentally observe an anomalous behavior, namely an alternance of resonance peaks, in the…

Superconductivity · Physics 2015-06-17 F. Chiarello , S. Spilla , M. G. Castellano , C. Cosmelli , A. Messina , R. Migliore , A. Napoli , G. Torrioli

We study a nonlinear generalization of the Landau-Zener resonance-crossing problem relevant to coherent photo- and magneto-association of ultracold atoms. Due to the structure of the corresponding classical phase space, the adiabatic…

Quantum Gases · Physics 2010-03-16 R. Sokhoyan , D. Melikdzhanian , C. Leroy , H. -R. Jauslin , A. Ishkhanyan

We investigate the dynamics of Landau-Zener transitions in an anisotropic, dissipative three-level model (3-LZM) using the numerically accurate multiple Davydov D2 Ansatz in the framework of time-dependent variation. It is demonstrated that…

Quantum Physics · Physics 2023-06-06 Lixing Zhang , Lu Wang , Maxim F. Gelin , Yang Zhao

We consider the inverse Landau-Zener problem which consists in finding the energy-sweep functions W(t)=E1(t)-E2(t) resulting in the required time dependences of the level populations for a two-level system crossing the resonance one or more…

Statistical Mechanics · Physics 2009-11-07 D. A. Garanin , R. Schilling

A qubit driven by two incommensurate frequencies can mediate a quantised average energy current in the adiabatic limit. We show that non-adiabatic processes result in reversals of the energy current and corresponding oscillations in the net…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Dominik Vuina , David M. Long , Phillip J. D. Crowley , Anushya Chandran

We study Landau-Zener transitions in a dissipative environment by means of the quasiadiabatic propagator path-integral scheme. It allows to obtain numerically exact results for the full range of the involved parameters. We discover a…

Statistical Mechanics · Physics 2012-05-08 P. Nalbach , M. Thorwart

A Lagrangian surface hopping algorithm is implemented to study the two dimensional massless Dirac equation for Graphene with an electrostatic potential, in the semiclassical regime. In this problem, the crossing of the energy levels of the…

Analysis of PDEs · Mathematics 2015-05-25 Ali Faraj , Shi Jin

A class of surface hopping algorithms is studied comparing two recent Landau-Zener (LZ) formulas for the probability of nonadiabatic transitions. One of the formulas requires a diabatic representation of the potential matrix while the other…

Chemical Physics · Physics 2015-06-19 Andrey K. Belyaev , Caroline Lasser , Giulio Trigila

During the adiabatic time evolution levels crossing violates the adiabaticity and makes transitions between levels possible. Conventionally only two energy levels cross simultaneously. The transition probabilities for this case were found…

Strongly Correlated Electrons · Physics 2007-05-23 V. L. Pokrovsky , N. A. Sinitsyn

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

Quantum Physics · Physics 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

A periodic perturbation such as a laser field cannot induce transitions between two decoupled states for which the transition matrix element vanishes. We show, however, that if in addition some system parameters are varied adiabatically,…

Quantum Physics · Physics 2008-09-18 Xingxiang Zhou , Ari Mizel

Microwave resonances between discrete macroscopically distinct quantum states with single photon and multiphoton absorption are observed in a strongly driven radio frequency superconducting quantum interference device flux qubit. The…

Quantum Physics · Physics 2015-05-18 Guozhu Sun , Xueda Wen , Yiwen Wang , Shanhua Cong , Jian Chen , Lin Kang , Weiwei Xu , Yang Yu , Siyuan Han , Peiheng Wu

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

We monitor the Landau-Zener dynamics of a single-ion magnet in a spin-transistor geometry. For increasing field-sweep rates, the spin reversal probability shows increasing deviations from that of a closed system. In the low-conductance…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 F. Troiani , C. Godfrin , S. Thiele , F. Balestro , W. Wernsdorfer , S. Klyatskaya , M. Ruben , M. Affronte

It has been theoretically demonstrated that two spins (qubits or qutrits), coupled by exchange interaction only, undergo a coupling-based joint Landau-Majorana-St\"uckelberg-Zener (LMSZ) transition when a linear ramp acts upon one of the…

Quantum Physics · Physics 2020-07-29 Roberto Grimaudo , Hiromichi Nakazato , Antonino Messina , Nikolay V. Vitanov