TY - JOUR

T1 - Analytically solvable Hamiltonians for quantum two-level systems and their dynamics

AU - Messina, Antonino

AU - Nakazato, null

PY - 2014

Y1 - 2014

N2 - A simple systematic way of obtaining analytically solvable Hamiltonians forquantum two-level systems is presented. In this method, a time-dependentHamiltonian and the resulting unitary evolution operator are connectedthrough an arbitrary function of time, furnishing us with new analyticallysolvable cases. The method is surprisingly simple, direct, and transparent andis applicable to a wide class of two-level Hamiltonians with no involvedconstraint on the input function. A few examples illustrate how the methodleads to simple solvable Hamiltonians and dynamics.

AB - A simple systematic way of obtaining analytically solvable Hamiltonians forquantum two-level systems is presented. In this method, a time-dependentHamiltonian and the resulting unitary evolution operator are connectedthrough an arbitrary function of time, furnishing us with new analyticallysolvable cases. The method is surprisingly simple, direct, and transparent andis applicable to a wide class of two-level Hamiltonians with no involvedconstraint on the input function. A few examples illustrate how the methodleads to simple solvable Hamiltonians and dynamics.

KW - Mathematical Physics

KW - Modeling and Simulation

KW - Physics and Astronomy (all)

KW - Quantum two-level system

KW - Solvable model

KW - Statistical and Nonlinear Physics

KW - Statistics and Probability

KW - Time-dependent Hamiltonian

KW - Mathematical Physics

KW - Modeling and Simulation

KW - Physics and Astronomy (all)

KW - Quantum two-level system

KW - Solvable model

KW - Statistical and Nonlinear Physics

KW - Statistics and Probability

KW - Time-dependent Hamiltonian

UR - http://hdl.handle.net/10447/101330

UR - http://iopscience.iop.org/1751-8121/47/44/445302/pdf/1751-8121_47_44_445302.pdf

M3 - Article

VL - 47

SP - 445302-1-445302-10

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -