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We identify a nontrivial multistate Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of…

Quantum Physics · Physics 2017-02-27 N. A. Sinitsyn

Via projection operator technology, we restrict our discussion of Double Quantum Dots system in subspaces of fixed electron population. When an incident electron tries to pass through the dots, we find transmission peaks occur, if the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuhui He , Qin-Wei Shi

The statistical properties of the dynamics of energy levels are investigated in the case of two two-dimensional disordered quantum dot models with nearest neighbor hopping subjected to external time-dependent perturbations. While in the…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 András Grabarits

We investigate the Landau-Zener tunneling (LZT) of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. In such a non-Hermitian system, when the energy bias between two levels is adjusted very…

Quantum Physics · Physics 2022-12-19 Wen-Yuan Wang , Bin Sun , Jie Liu

The electronic structure of two vertically coupled quantum dots containing two electrons is investigated in the presence of interdot tunneling. Our approach also includes the interdot exchange and we find that the tunneling is affected by…

Strongly Correlated Electrons · Physics 2007-05-23 B. Partoens , A. Matulis , F. M. Peeters

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

A field dependent $su(2)$ gauge transformation connects between the adiabatic and diabatic pictures in the (Landau-Zener-Stueckelberg) potential curve crossing problem. It is pointed out that weak and strong potential curve crossing…

High Energy Physics - Theory · Physics 2009-10-30 Kazuo Fujikawa , Hiroshi Suzuki

Analytic results are presented for the probability of detecting an electron neutrino after passage through a resonant oscillation region. If the electron neutrino is produced far above the resonance density, this probability is simply given…

High Energy Physics - Phenomenology · Physics 2022-12-15 Stephen J. Parke

The magnetic character of the ground-state of two electrons on a double quantum dot, connected in series to left and right single-channel leads, is considered. By solving exactly for the spectrum of the two interacting electrons, it is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

The Landau-Zener formula provides an analytical expression for the final excitation of a quantum system after passage of an avoided crossing of two energy levels. If the two levels correspond to a ground state, and to an excited state which…

Quantum Physics · Physics 2015-06-19 Pinja Haikka , Klaus Molmer

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

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 study transport through a lateral quantum dot in the vicinity of the singlet-triplet transition in its ground state. This transition, being sharp in an isolated dot, is broadened to a crossover by the exchange interaction of the dot…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman , W. Hofstetter

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 generalize the Brundobler-Elser hypothesis in the multistate Landau-Zener problem to the case when instead of a state with the highest slope of the diabatic energy level there is a band of states with an arbitrary number of parallel…

Quantum Physics · Physics 2009-11-10 N. A. Sinitsyn

A nonlinear Landau-Zener model was proposed recently to describe, among a number of applications, the nonadiabatic transition of a Bose-Einstein condensate between Bloch bands. Numerical analysis revealed a striking phenomenon that…

Quantum Physics · Physics 2009-11-07 Jie Liu , Li-Bin Fu , Bi-Yiao Ou , Shi-Gang Chen , Qian Niu

Tunneling in a quantum coherent structure is not restricted to only nearest neighbours. Hopping between distant sites is possible via the virtual occupation of otherwise avoided intermediate states. Here we report the observation of long…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 R. Sánchez , G. Granger , L. Gaudreau , A. Kam , M. Pioro-Ladrière , S. A. Studenikin , P. Zawadzki , A. S. Sachrajda , G. Platero

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We analyze dynamics of a quantum particle in a square lattice in the Hall configuration beyond the single-band approximation. For vanishing gauge (magnetic) field this dynamics is defined by the inter-band Landau-Zener tunneling, which is…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 D. N. Maksimov , I. Yu. Chesnokov , D. V. Makarov , A. R. Kolovsky

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