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The phase of a quantum state may not return to its original value after the system's parameters cycle around a closed path; instead, the wavefunction may acquire a measurable phase difference called the Berry phase. Berry phases typically…

We propose a method for analyzing Berry phase for a multi-qubit system of superconducting charge qubits interacting with a microwave field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection…

量子物理 · 物理学 2015-05-13 Mahmoud Abdel-Aty

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) phases that the electronic states can acquire when a uniform time-dependent electric field carries the…

材料科学 · 物理学 2009-11-13 R. Englman , T. Vértesi

We develop a nonadiabatic theory of phonon magnetic moments applicable to both insulators and metals. By relating the phonon magnetic moment to the force-velocity response of ions in a magnetic field, we derive a gauge-invariant expression…

介观与纳米尺度物理 · 物理学 2026-05-11 Haoran Chen , Wenqin Chen , Kaijie Yang , Ting Cao , Di Xiao

Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key…

介观与纳米尺度物理 · 物理学 2014-01-17 Fan Yang , Ren-Bao Liu

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

介观与纳米尺度物理 · 物理学 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

We consider phase-coherent transport through ballistic and diffusive two-dimensional hole systems based on the Kohn-Luttinger Hamiltonian. We show that intrinsic heavy-hole light-hole coupling gives rise to clear-cut signatures of an…

介观与纳米尺度物理 · 物理学 2011-06-13 Viktor Krueckl , Michael Wimmer , Inanc Adagideli , Jack Kuipers , Klaus Richter

We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto

Periodic driving can create topological phases of matter absent in static systems. In terms of the displacement of the position expectation value of a time-evolving wavepacket in a closed system, a type of adiabatic dynamics in periodically…

介观与纳米尺度物理 · 物理学 2015-06-23 Hailong Wang , Longwen Zhou , Jiangbin Gong

We present a measurement scheme for observing the Berry phase in a flux assisted Cooper pair pump - the Cooper pair sluice. In contrast to the recent experiments, in which the sluice was employed to generate accurate current through a…

We derive a semiclassical expression for the Green's function in graphene, in which the presence of a semiclassical phase is made apparent. The relationship between this semiclassical phase and the adiabatic Berry phase, usually referred to…

介观与纳米尺度物理 · 物理学 2009-11-13 Pierre Carmier , Ullmo Denis

We explore topological transitions in parameter space in order to enable adiabatic passages between regions adiabatically disconnected within a given parameter manifold. To this end, we study the Hamiltonian of two coupled qubits…

介观与纳米尺度物理 · 物理学 2016-09-14 Tiago Souza , Michael Tomka , Michael Kolodrubetz , Steven Rosenberg , Anatoli Polkovnikov

A Berry phase can be added to the wavefunction of an isolated quantum dot by adiabatically modulating a nonuniform electric field along a time-cycle. The dot is tuned close to a three-level degeneracy, which provides a wide range of…

介观与纳米尺度物理 · 物理学 2009-11-07 D. Giuliano , P. Sodano , A. Tagliacozzo

A fractionally quantized Berry phase is examined numerically in an anisotropic spin-1/2 XXZ model on the Kagome lattice. It is shown that the Berry phase has a fractionally quantized and non-zero value when an anisotropy is increased, which…

统计力学 · 物理学 2019-03-29 Tohru Kawarabayashi , Kota Ishii , Yasuhiro Hatsugai

In these notes, we review the role of Berry phases and topology in noninteracting electron systems. Topics including the adiabatic theorem, parallel transport, and Wannier functions are reviewed, with a focus on the connection to…

介观与纳米尺度物理 · 物理学 2022-05-11 Barry Bradlyn , Mikel Iraola

The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus…

量子物理 · 物理学 2009-05-09 Kazuo Fujikawa , Ming-Guang Hu

We investigate the geometric phase or Berry phase of adiabatic quantum evolution in an atom-molecule conversion system, and find that the Berry phase in such system consists of two parts: the usual Berry connection term and a novel term…

量子气体 · 物理学 2015-05-13 Li-Bin Fu , Jie Liu

We study the adiabatic limit in the density matrix approach for a quantum system coupled to a weakly dissipative medium. The energy spectrum of the quantum model is supposed to be non-degenerate. In the absence of dissipation, the geometric…

量子物理 · 物理学 2015-06-26 A. C. Aguiar Pinto , K. M. Fonseca Romero , M. T. Thomaz

Adiabatic transport in a many-electron system is expressed in terms of the appropriate Berry curvature, owing to the Niu-Thouless theory [J. Phys A {\bf 17}, 2453 (1984)]; the main equation is very compact and very general. I address here…

材料科学 · 物理学 2022-11-24 Raffaele Resta

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

量子物理 · 物理学 2007-05-23 Pavel Exner , Vladimir A. Geyler