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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

Based on the adiabatic geometric phase concerning with density matrix[1] , we extend it to the sub-geometric phase in the non-adiabatic case. It is found that whatever the real part or imaginary part of the sub-geometric phase can play an…

量子物理 · 物理学 2024-05-20 Zheng-Chuan Wang

Crossing a quantum critical point in finite time challenges the adiabatic condition due to the closing of the energy gap, which ultimately results in the formation of excitations. Such non-adiabatic excitations are typically deemed…

量子物理 · 物理学 2022-04-27 Obinna Abah , Gabriele De Chiara , Mauro Paternostro , Ricardo Puebla

We investigate a special time-dependent quantum model which assumes the Landau-Zener driving form but with an overall modulation of the intensity of the pulsing field. We demonstrate that the dynamics of the system, including the two-level…

量子物理 · 物理学 2018-06-19 Wei Li , Li-Xiang Cen

We study the evolution of a quantum dot controlled by a frequency-swept (chirped), linearly polarized laser pulse in the presence of carrier-phonon coupling. The final occupation of the exciton state is limited both due to phonon-induced…

介观与纳米尺度物理 · 物理学 2013-11-11 K. Gawarecki , S. Lüker , D. E. Reiter , T. Kuhn , M. Glässl , V. M. Axt , A. Grodecka-Grad , P. Machnikowski

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…

量子物理 · 物理学 2015-06-19 Pinja Haikka , Klaus Molmer

Dissipative effects on the nonadiabatic transition for the two and three level systems are studied. When the system is affected by a strong dissipation through the diabatic states, the exact transition probability is enumerated making use…

材料科学 · 物理学 2009-11-07 Keiji Saito , Yosuke Kayanuma

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

量子物理 · 物理学 2008-09-24 Gernot Schaller

We study Landau-Zener like dynamics of a qubit influenced by transverse random telegraph noise. The telegraph noise is characterized by its coupling strength, $v$ and switching rate, $\gamma$. The qubit energy levels are driven nonlinearly…

其他凝聚态物理 · 物理学 2009-11-13 J. I. Vestgarden , J. Bergli , Y. M. Galperin

The effect of disorder on the quantum phase transitions induced by a transverse field, anisotropy, and dimerization in XY spin chains is investigated. The low-energy behavior near the critical point is described by a Dirac-type equation…

凝聚态物理 · 物理学 2009-10-28 Ross H. McKenzie

An infinite array of globally coupled overdamped constituents moving in a double-well potential with $n$-th order saturation term under the influence of additive Gaussian white noise is investigated. The system exhibits a continuous phase…

统计力学 · 物理学 2016-12-28 Rüdiger Kürsten , Ulrich Behn

The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\text{CD}$ can be reverse-engineered so that…

量子物理 · 物理学 2026-01-16 Georgios Theologou , Mikkel F. Andersen , Sandro Wimberger

A defect density which quantifies the deviation from the spin ground state characterizes non-equilibrium dynamics during phase transitions. The widely recognized Kibble-Zurek scaling predicts how the defect density evolves during phase…

量子物理 · 物理学 2024-09-24 Kaito Iwamura , Takayuki Suzuki

The presence of a quantum critical point can significantly affect the thermodynamic properties of a material at finite temperatures. This is reflected, e.g., in the entropy landscape S(T; c) in the vicinity of a quantum critical point,…

强关联电子 · 物理学 2015-05-28 R. Jafari

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

量子物理 · 物理学 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

统计力学 · 物理学 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

We study finite-time Landau-Zener transitions at a singlet-triplet level crossing in a GaAs double quantum dot, both experimentally and theoretically. Sweeps across the anticrossing in the high driving speed limit result in oscillations…

介观与纳米尺度物理 · 物理学 2013-03-05 Hugo Ribeiro , Guido Burkard , J. R. Petta , H. Lu , A. C. Gossard

We investigate the acceleration of an adiabatic process with the same survival probability of the ground state by sweeping a parameter nonlinearly, fast in the wide gap region and slow in the narrow gap region, as contrast to the usual…

量子物理 · 物理学 2015-06-03 Xingxin Cao , Jun Zhuang , X. -J. Ning , Wenxian Zhang

A sweep through a quantum phase transition by means of a time-dependent external parameter (e.g., pressure) entails non-equilibrium phenomena associated with a break-down of adiabaticity: At the critical point, the energy gap vanishes and…

量子物理 · 物理学 2015-05-18 Ralf Schützhold

We consider the one-dimensional $XX$-model in a quasi-periodic transverse-field described by the Harper potential, which is equivalent to a tight-binding model of spinless fermions with a quasi-periodic chemical potential. For weak…

无序系统与神经网络 · 物理学 2014-11-26 Gergö Roósz , Uma Divakaran , Heiko Rieger , Ferenc Iglói