Fielddriven geometrical phases in a timeperiodic quantum system
(2009) In Physical Review B (Condensed Matter and Materials Physics) 79(20). Abstract
 We apply Floquet theory to explore the geometry of the Hilbert space under the influence of a timeperiodic field. The geometrical phase is found to be induced by fielddriven hybridizations when the photon energy of the driving field is close to the transition energies of the states of a quantum system. The phases of two hybridized states are phase locked to each other. We show that the geometrical phase is in general related to the Rabi frequency of the hybrid states. We also show that when the photon energy is equal to the transition energy of two states the geometrical phase acquired by each state is given exactly by an integer multiple of pi, independent of the strength of the driving field. We illustrate the derived generic... (More)
 We apply Floquet theory to explore the geometry of the Hilbert space under the influence of a timeperiodic field. The geometrical phase is found to be induced by fielddriven hybridizations when the photon energy of the driving field is close to the transition energies of the states of a quantum system. The phases of two hybridized states are phase locked to each other. We show that the geometrical phase is in general related to the Rabi frequency of the hybrid states. We also show that when the photon energy is equal to the transition energy of two states the geometrical phase acquired by each state is given exactly by an integer multiple of pi, independent of the strength of the driving field. We illustrate the derived generic properties of the geometric phase with an experimentally realizable quantumwire system. It is shown that the interference between conductance channels in the wire presents a way to identify the geometrical phase. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1443504
 author
 Brusheim, Patrik ^{LU} and Xu, Hongqi ^{LU}
 organization
 publishing date
 2009
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 geometry, Hilbert spaces, quantum theory, quantum wires, equation, Schrodinger
 in
 Physical Review B (Condensed Matter and Materials Physics)
 volume
 79
 issue
 20
 article number
 205323
 publisher
 American Physical Society
 external identifiers

 wos:000266501500081
 scopus:67649544712
 ISSN
 10980121
 DOI
 10.1103/PhysRevB.79.205323
 language
 English
 LU publication?
 yes
 id
 2d4fbac04d0f4910b29209d9e85c8813 (old id 1443504)
 date added to LUP
 20160401 13:47:39
 date last changed
 20210929 02:00:46
@article{2d4fbac04d0f4910b29209d9e85c8813, abstract = {We apply Floquet theory to explore the geometry of the Hilbert space under the influence of a timeperiodic field. The geometrical phase is found to be induced by fielddriven hybridizations when the photon energy of the driving field is close to the transition energies of the states of a quantum system. The phases of two hybridized states are phase locked to each other. We show that the geometrical phase is in general related to the Rabi frequency of the hybrid states. We also show that when the photon energy is equal to the transition energy of two states the geometrical phase acquired by each state is given exactly by an integer multiple of pi, independent of the strength of the driving field. We illustrate the derived generic properties of the geometric phase with an experimentally realizable quantumwire system. It is shown that the interference between conductance channels in the wire presents a way to identify the geometrical phase.}, author = {Brusheim, Patrik and Xu, Hongqi}, issn = {10980121}, language = {eng}, number = {20}, publisher = {American Physical Society}, series = {Physical Review B (Condensed Matter and Materials Physics)}, title = {Fielddriven geometrical phases in a timeperiodic quantum system}, url = {http://dx.doi.org/10.1103/PhysRevB.79.205323}, doi = {10.1103/PhysRevB.79.205323}, volume = {79}, year = {2009}, }