115 citations · 190 across the 11 of their papers we have counts for
11 papers
Simulating spin dynamics with quantum computers
Jarrett L. Lancaster, D. Brysen Allen
IBM quantum computers are used to simulate the dynamics of small systems of interacting quantum spins. For time-independent systems with fewer than three spins, we compute the exac…
Testing the necessity of complex numbers in traditional quantum theory with quantum computers
Jarrett L. Lancaster, Nicholas M. Palladino
A recent experiment testing the necessity of complex numbers in the standard formulation of quantum theory is recreated using IBM quantum computers. To motivate the experiment, we…
Persistence of power-law correlations in nonequilibrium steady states of gapped quantum spin chains
Jarrett L. Lancaster, Joseph P. Godoy
The existence of quasi-long range order is demonstrated in nonequilibrium steady states in isotropic spin chains including of two types of additional terms that each generate…
Introducing SU(3) color charge in undergraduate quantum mechanics
Brandon L. Inscoe, Jarrett L. Lancaster
We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are conside…
Slow-dissipation limit of the harmonic oscillator with general power-law damping
Jarrett L. Lancaster
An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is sh…
Nonequilibrium current-carrying steady states in the anisotropic spin chain
Jarrett L. Lancaster
Out-of-equilibrium behavior is explored in the one-dimensional anisotropic model. Initially preparing the system in the isotropic model with a linearly varying magnetic f…
Emergence of long-range force laws from classical particle exchange
Jarrett L. Lancaster, Colin McGuire, Aaron P. Titus
The analogy of classical repulsive interactions emerging from the exchange of mediating particles is revisited with a quantitative approach. Simulations are presented for a particu…
A random phase approximation study of one-dimensional fermions after a quantum quench
Jarrett Lancaster, Thierry Giamarchi, Aditi Mitra
The effect of interactions on a system of fermions that are in a non-equilibrium steady state due to a quantum quench is studied employing the random-phase-approximation (RPA). As…
Quenched dynamics in interacting one-dimensional systems: Appearance of current carrying steady states from initial domain wall density profiles
Jarrett Lancaster, Emanuel Gull, Aditi Mitra
We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wal…
Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
Jarrett Lancaster, Aditi Mitra
Results are presented for the nonequilibrium dynamics of a quantum -spin chain whose spins are initially arranged in a domain wall profile via the application of a magnetic fi…
Modeling Excitable Systems: Reentrant Tachycardia
Jarrett L. Lancaster, Esther M. Leise, Edward H. Hellen
Excitable membranes are an important type of nonlinear dynamical system and their study can be used to provide a connection between physical and biological circuits. We discuss two…