8 research outputs found
Dissipative Preparation of Many-Body Spin Steady States Using Trapped Ultracold Atoms
This article presents a dissipative method of creating a spin steady state,
or a state whose spin expectation values approaches a fixed value over time,
using a trapped gas of ultracold atoms coupled to a background BEC. The
ultracold atoms are trapped in a double potential well embedded in a wide
harmonic trap, which has a higher energy level than the double wells. The
trapped atoms are then excited out of the double well trap into the harmonic
trap using Raman lasers. Due to the coupling of the system to the background
BEC, the atoms are then able to return to the double potential well by emitting
an excitation into the background BEC, which serves as a reservoir of these
excitations. By repeatedly coupling and uncoupling the trapped ultracold atoms
and the background BEC over fixed intervals of time, the expectation value of
the total spin of these atoms will, over time, reach a steady - state value.Comment: 11 pages with appendix, 6 figures. Update: Citations adde
Characterizing Multiple Solutions to the Time - Energy Canonical Commutation Relation via Internal Symmetries
Internal symmetries can be used to classify multiple solutions to the time
energy canonical commutation relation (TE-CCR). The dynamical behavior of
solutions to the TE-CCR posessing particular internal symmetries involving time
reversal differ significantly from solutions to the TE-CCR without those
particular symmetries, implying a connection between the internal symmetries of
a quantum system, its internal unitary dynamics, and the TE-CCR.Comment: Accepted for publication in Physical Review A, 10 page
Characterizing Multiple Solutions to the Time-Energy Canonical Commutation Relation via Quantum Dynamics
We address the multiplicity of solutions to the time-energy canonical
commutation relation for a given Hamiltonian. Specifically, we consider a
particle spatially confined in a potential free interval, where it is known
that two distinct self-adjoint and compact time operators conjugate to the
system Hamiltonian exist. The dynamics of the eigenvectors of these operators
indicate that different time operators posses distinguishing properties that
can unambiguously associate them to specific aspects of the quantum time
problem