A simple systematic way of obtaining analytically solvable Hamiltonians for quantum two-level systems is presented. In this method, a time-dependent Hamiltonian and the resulting unitary evolution operator are connected through an arbitrary function of time, furnishing us with new analytically solvable cases. The method is surprisingly simple, direct, and transparent and is applicable to a wide class of two-level Hamiltonians with no involved constraint on the input function. A few examples illustrate how the method leads to simple solvable Hamiltonians and dynamics.

Messina, A., & Nakazato, H. (2014). Analytically solvable Hamiltonians for quantum two-level systems and their dynamics. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 47(44), 445302-1-445302-10 [10.1088/1751-8113/47/44/445302].

Analytically solvable Hamiltonians for quantum two-level systems and their dynamics

MESSINA, Antonino;
2014

Abstract

A simple systematic way of obtaining analytically solvable Hamiltonians for quantum two-level systems is presented. In this method, a time-dependent Hamiltonian and the resulting unitary evolution operator are connected through an arbitrary function of time, furnishing us with new analytically solvable cases. The method is surprisingly simple, direct, and transparent and is applicable to a wide class of two-level Hamiltonians with no involved constraint on the input function. A few examples illustrate how the method leads to simple solvable Hamiltonians and dynamics.
Settore FIS/03 - Fisica Della Materia
http://iopscience.iop.org/1751-8121/47/44/445302/pdf/1751-8121_47_44_445302.pdf
Messina, A., & Nakazato, H. (2014). Analytically solvable Hamiltonians for quantum two-level systems and their dynamics. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 47(44), 445302-1-445302-10 [10.1088/1751-8113/47/44/445302].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/101330
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