arXiv subjects

Gonzalo Garcia de Polavieja

Publications and source records attributed to Gonzalo Garcia de Polavieja.

3 recordsLinked to original sources

arXiv1999

Quantum-Classical Correspondence: Controlling Quantum Transport by State Synthesis in Ion Traps

A procedure to enhance the quantum--classical correspondence even in situations far from the classical limit is proposed. It is based on controlling the quantum transport between classical regions using the capability to synthesize arbitrary motional states in ion traps. Quantum barriers and passages to transport can be created selecting the relevant frequencies. This technique is then applied to stabilize the quantum motion onto classical structures or alter the dynamical tunneling in nonintegrable systems.

quant-ph↗

arXiv1998

Quantum state sensitivity to initial conditions

The different time-dependent distances of two arbitrarily close quantum or classical-statistical states to a third fixed state are shown to imply an experimentally relevant notion of state sensitivity to initial conditions. A quantitative classification scheme of quantum states by their sensitivity and instability in state space is given that reduces to the one performed by classical-mechanical Lyapunov exponents in the classical limit

quant-ph↗

arXiv1998

Extending the quantal adiabatic theorem: Geometry of noncyclic motion

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm situation is worked out in detail. A spin-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.

quant-ph↗