Nonadiabatic geometric phases of multiphoton transitions in dissipative systems and spin-j systems

Conference · Mon Jan 01 04:00:00 EST 1990

OSTI ID:5373344

Layton, E G; Chu, Shih-I

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: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-90ER14159
• OSTI ID: 5373344
• Report Number(s): CONF-9006368-1; ON: DE91018278
• Country of Publication: United States
• Language: English

Related Subjects

640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FLOQUET FUNCTION
FUNCTIONS
HAMILTONIANS
LASER RADIATION
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
MECHANICS
MULTI-PHOTON PROCESSES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
QUANTUM MECHANICS
QUANTUM OPERATORS
RADIATIONS
SCHROEDINGER EQUATION
WAVE EQUATIONS
WAVE FUNCTIONS