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The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

Quantum Physics · Physics 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

When elliptically polarized maximally entangled states are considered, i.e., states having a non random phase factor between the two bipartite polarization components, the standard settings used for optimal violation of Bell inequalities…

Electron motion in crystals is governed by the coupling between crystal momentum and internal degrees of freedom such as spin implicit in the band structure. The description of this coupling in terms of a momentum-dependent effective field…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

It is shown that even for large spins $J$ the fundamental difference between integer and half-integer spins persists. In a quasi-classical description this difference enters via Berry's connection. This general phenomenon is derived and…

Quantum Physics · Physics 2016-09-08 V. A. Kalatsky , E. Müller--Hartmann , V. L. Pokrovsky , G. S. Uhrig

We present both the gauge theoretic description and the numerical calculations of the Berry phases with the real eigenstates, involving one with a many-body system as a background and the other with no such background. We demonstrate that…

Quantum Physics · Physics 2008-02-03 S. P. Hong , H. Doh , S. H. Suck Salk

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2,…

Mesoscale and Nanoscale Physics · Physics 2011-11-21 Cheol-Hwan Park , Nicola Marzari

We discuss the concept of the Berry phase in a dissipative system. We show that one can identify a Berry phase in a weakly-dissipative system and find the respective correction to this quantity, induced by the environment. This correction…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 Robert S. Whitney , Yuriy Makhlin , Alexander Shnirman , Yuval Gefen

The vibrational modes of Jahn-Teller molecules are affected by a Berry phase that is associated with a conical intersection of the adiabatic potentials. We investigate theoretically how this Berry phase affects transport through a single $E…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Maximilian G. Schultz , Tamara S. Nunner , Felix von Oppen

Since the recent experimental realization of synthetic Rashba spin-orbit coupling paved a new avenue for exploring and engineering topological phases in ultracold atoms, a precise, solid detection of Berry phase has been desired for…

Quantum Gases · Physics 2018-08-29 Junpeng Hou , Xi-Wang Luo , Kuei Sun , Chuanwei Zhang

Despite their apparent simplicity, coupled oscillators exhibit surprisingly complex phenomena. Two notable examples are Berry phase (a geometric or topological aspect of the oscillators' memory) and non-Hermiticity (the often…

Classical Physics · Physics 2026-03-05 J. R. Lane , C. Guria , J. Höller , T. D. Montalvo , Y. S. S. Patil , J. G. E. Harris

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

Statistical Mechanics · Physics 2012-05-11 V. Gritsev , A. Polkovnikov

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…

Quantum eigenstates undergoing cyclic changes acquire a phase factor of geometric origin. This phase, known as the Berry phase, or the geometric phase, has found applications in a wide range of disciplines throughout physics, including…

Quantum Physics · Physics 2010-09-13 J. M. Robbins

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…

Statistical Mechanics · Physics 2019-03-29 Tohru Kawarabayashi , Kota Ishii , Yasuhiro Hatsugai

Within the framework of exact quantum electrodynamics in dielectric, we study the topological Berry phase of a classically pumped $\Lambda$-type three-level atom, prepared initially in a superposition of its two pumped levels and located…

Quantum Physics · Physics 2011-09-05 M. S. Ateto

The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective "electromagnetic" vector…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Giandomenico Palumbo , Nathan Goldman

We study QED$_4$ in the adiabatic approximation, incorporating global topological effects associated with the $U(1)$ Berry connection. The Berry phase accumulated by the fermionic vacuum is given by $\Delta \alpha = \oint_{\mathcal{C}}…

High Energy Physics - Theory · Physics 2025-04-01 J. Gamboa

A matrix Berry phase can be generated and detected by {\it all electric means} in II-VI or III-V n-type semiconductor quantum dots by changing the shape of the confinement potential. This follows from general symmetry considerations in the…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 S. -R. Eric Yang , N. Y. Hwang

As reflection symmetry or space-time inversion symmetry is preserved, with a non-contractible integral loop respecting the symmetry in the Brilliouin zone, Berry phase is quantized in proper basis. Topological nodal lines can be enclosed in…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 C. -K. Chiu , Y. -H. Chan , A. P. Schnyder

The behavior of the geometric phase gained by a single spin-1/2 nucleus immersed into a thermal or a squeezed environment is investigated. Both the time dependence of the phase and its value at infinity are examined against several physical…

Quantum Physics · Physics 2009-12-31 A. C. Günhan , S. Turgut , N. K. Pak