Nonadiabatic geometric phases of multiphoton transitions in dissipative systems and spin-j systems
We present new developments in nonadiabatic geometric phases along two lines for systems undergoing changes of quantum state in intense fields. We first present a geometric representation of the non-Hermitian Schrodinger equation and introduce the notion of a complex multiphoton Aharonov-Anandan (AA) phase associated with dissipative two-level systems driven by periodic fields. The concept is further extended to include field modulation effects. We then develop the AA phase for spin-j systems in periodic fields and find conditions for cyclic evolution for general multi-level systems. In both cases, generalizations of the Floquet formalism lead to general analytical expressions for geometric phases that can be tested by experiments. 16 refs., 5 figs.
- Research Organization:
- Kansas Univ., Lawrence, KS (United States). Dept. of Chemistry
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG02-90ER14159
- OSTI ID:
- 5373344
- Report Number(s):
- CONF-9006368-1; ON: DE91018278
- Resource Relation:
- Conference: 1. international conference on coherent radiation processes in strong fields, Washington, DC (United States), 18-22 Jun 1990
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ENERGY-LEVEL TRANSITIONS
MULTI-PHOTON PROCESSES
PHASE SHIFT
FLOQUET FUNCTION
HAMILTONIANS
LASER RADIATION
MAGNETIC FIELDS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
RADIATIONS
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
640302 - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory