A functional-derivative linear-response scheme is extended to time-dependent Hamiltonians and used to track bound-state and Bloch-oscillation relaxation in the mixed-field Ising model.
Aspects of Confinement in Low Dimensions
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abstract
We briefly review some examples of confinement which arise in condensed matter physics. We focus on two instructive cases: the off-critical Ising model in a magnetic field, and an array of weakly coupled (extended) Hubbard chains in the Wigner crystal phase. In the appropriate regime, the elementary excitations in these 1+1 and quasi-one-dimensional systems are confined into `mesons'. Although the models are generically non-integrable, quantum mechanics and form factor techniques yield valuable information.
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Probing Bound State Relaxation Dynamics in Systems Out-of-Equilibrium on Quantum Computers
A functional-derivative linear-response scheme is extended to time-dependent Hamiltonians and used to track bound-state and Bloch-oscillation relaxation in the mixed-field Ising model.