We outline a path integral derivation of both the transverse force, the Berry phase, and friction for a vortex from the microscopic fermionic superfluid theory. The derivation manifests transparently the mutual independence of the Berry phase and dissipative terms in the effective vortex action. 1

We examine the spin-orbit coupling effects that appear when a wave carrying intrinsic angular momentum interacts with a medium. The Berry phase is shown to be a manifestation of the Coriolis effect in a noninertial reference frame attached to the wave. In the most general case, when both the direction of propagation and the state of the wave are varied, the phase is given by a simple expression...

Submitted for the MAR10 Meeting of The American Physical Society Berry-phase effect on reflection amplitude in bilayer graphene with potential step SUNGHUN PARK, H.-S. SIM, KAIST — We theoretically study the phase of the reflection amplitude of an electron at a lateral potential step in Bernal-stacked bilayer graphene [1]. The phase shows an anomalous jump of π, as the electron incidence angle ...

In the last few years Berry phase in a single particle system has been studied very well, both theoretically and experimentally. However, the study of Berry phase in an entangled state has become a topic of interest very recently [1, 2, 3, 4, 5]. As entanglement is a striking feature of quantum systems and is a useful resource to realize quantum information, quantum teleportation, quantum crypt...

It has been recently found that the equations of motion of several semiclassical systems must take into account terms arising from Berry phases contributions. Those terms are responsible for the spin Hall effect in semiconductor as well as the Magnus effect of light propagating in inhomogeneous media. Intensive ongoing research on this subject seems to indicate that a broad class of quantum sys...

In a nondegenerate system, the abelian Berry’s phase will never cause transitions among the Hamiltonian’s eigenstate. However, in a degenerate system, it is well known that the state transition can be caused by the non-abelian Berry phase. Actually, in a such a system, the phase factor is not always nonabelian. Even in the case that the phase is a nondiagonal matrix, it still can be an abelian ...

In a nondegenerate system, the abelian Berry’s phase will never cause transitions among the Hamiltonian’s eigenstate. However, in a degenerate system, it is well known that the state transition can be caused by the non-abelian Berry phase. Actually, in a such a system, the phase factor is not always nonabelian. Even in the case that the phase is a nondiagonal matrix, it still can be an abelian ...

Quantized Berry phases as local order parameters in t-J models are studied. A texture pattern of the local order parameters is topologically stable due to the quantization of nonAbelian Berry phases defined by low-energy states below a spin gap, which exists in the large J/t case with a few electrons. We have confirmed that itinerant singlets in the wide class of t-J models carry the nontrivial...

The Lie group adiabatic evolution determined by a Lie algebra parameter dependent Hamiltonian is considered. It is demonstrated that in the case when the parameter space of the Hamiltonian is a homogeneous Kähler manifold its fundamental Kähler potentials completely determine Berry geometrical phase factor. Explicit expressions for Berry vector potentials (Berry connections) and Berry curvature...

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. London A, 392:45], which naturally emerges in quantum adiabatic evolution. So far the applicability and measurements of the Berry phase were mostly limited to sy...