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A complex network description of thermal quantum states in the Ising spin chain
Bhuvanesh Sundar, Marc Andrew Valdez, Lincoln D. Carr +1
We use network analysis to describe and characterize an archetypal quantum system - an Ising spin chain in a transverse magnetic field. We analyze weighted networks for this quantu…
High-accuracy power series solutions with arbitrarily large radius of convergence for fractional nonlinear differential equations
U. Al Khawaja, M. Al-Refai, Lincoln D. Carr
Fractional nonlinear differential equations present an interplay between two common and important effective descriptions used to simplify high dimensional or more complicated theor…
Quantifying Complexity in Quantum Phase Transitions via Mutual Information Complex Networks
Marc Andrew Valdez, Daniel Jaschke, David L. Vargas +1
We quantify the emergent complexity of quantum states near quantum critical points on regular 1D lattices, via complex network measures based on quantum mutual information as the a…
Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance
L. D. Carr, R. Chiaramonte, M. J. Holland
The entropy and kinetic, potential, and interaction energies of an atomic Fermi gas in a trap are studied under the assumption of thermal equilibrium for finite temperature. A Fesh…
Limits of sympathetic cooling of fermions: The role of the heat capacity of the coolant
L. D. Carr, Y. Castin
The sympathetic cooling of an initially degenerate Fermi gas by either an ideal Bose gas below or an ideal Boltzmann gas is investigated. It is shown that the efficiency of c…