The following research directions were explored in my group during the past year:
Quantum control fields that operate on a qubit in a single quantum gatemay become entangled with the qubit and thus contribute to the gate error. We have investigated the possible advantage of the use of squeezed light forqubit coherent control and compared it with the more standard coherent lightcontrol field.
We have calculated the dynamical fluctuation spectrum of electronic spinsin a semiconductor under a steady-state illumination of light containing po-larization squeezing correlations. In this externally driven system we foundthat the contribution which is fourth order in the optical field is sensitive tothe squeezing phase of the light.
We have applied the Lippman Schwinger techniques to analyze phenom-ena in photonic crystals which have analogies of narrow resonance scatteringof a discrete state in Quantum Mechanics.
Quantum Hall Effect is a striking new phenomenondiscovered some 15 years ago. It occursin artificially prepared conductors in which electrons canmove only in a plane. When put in a strong magnetic field the electroncurrent flows perpedicular to applied voltage and the voltage tocurrent ratio is to an incredible accuracy equal to an integer number of units of quantum resistance.
One of the most exciting aspectsof the quantum condensed matter physics is the interplay between interactions and disorder. Electrons placed in very small disordered cavities (called quantum dots) exhibit unusual phenomenon called Quantum Chaos. Their energy levels are expected to be distributed not completely randomly but according to special rules called Wigner-Dyson Statistics.
In recent experiments performed in our Submicron Center one began to fabricate coupled pairs of mesoscopic systems which can act as a controlled dephasor-dephasee device.
Other interests include non-perturbative methods in Quantum Chromodynamics; random colormagnetic fields; matrix models with free random variables; variational methods with free random variables - Fock space formulation.
