A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetries. It emerges as the natural analog of the holonomy associated with the adiabatic variation of parameters in quantum-mechanical and classical Hamiltonian systems. In continuous media, the physical manifestation of this phase is a spatial shift of a wave pattern, typically a translation or rotation. An illustration associated with pattern formation in fluids is provided
We study the role of driving in a two-level system evolving under the presence of a structured envir...
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering...
The focus of this thesis is on the study of modulation of symmetric Hamiltonian ODEs andPDEs. We con...
A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetrie...
Abstract: Classical dissipative systems with symmetry can exhibit a geometric phase effect wherein a...
In many parameter-dependent systems, varying the parameters along a closed path generates a shift in...
In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of t...
In [1], a new way to generate an observable geometric phase on a quantum system by means of a comple...
This paper is concerned with the relation between the dynamics of a given Hamiltonian system with a ...
A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when travers...
This paper is concerned with the relation between the dynamics of a given Hamiltonian system with a ...
Within the adiabatic theorem we must explicitly add to the instantaneous adiabatic vectors, parametr...
The theory of geometric phase is generalized to a cyclic evolution of the eigenspace of an invariant...
During the last few years, considerable interest has been focused on the phase that waves accumulate...
We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamil...
We study the role of driving in a two-level system evolving under the presence of a structured envir...
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering...
The focus of this thesis is on the study of modulation of symmetric Hamiltonian ODEs andPDEs. We con...
A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetrie...
Abstract: Classical dissipative systems with symmetry can exhibit a geometric phase effect wherein a...
In many parameter-dependent systems, varying the parameters along a closed path generates a shift in...
In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of t...
In [1], a new way to generate an observable geometric phase on a quantum system by means of a comple...
This paper is concerned with the relation between the dynamics of a given Hamiltonian system with a ...
A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when travers...
This paper is concerned with the relation between the dynamics of a given Hamiltonian system with a ...
Within the adiabatic theorem we must explicitly add to the instantaneous adiabatic vectors, parametr...
The theory of geometric phase is generalized to a cyclic evolution of the eigenspace of an invariant...
During the last few years, considerable interest has been focused on the phase that waves accumulate...
We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamil...
We study the role of driving in a two-level system evolving under the presence of a structured envir...
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering...
The focus of this thesis is on the study of modulation of symmetric Hamiltonian ODEs andPDEs. We con...