3 papers
quant-ph2026
Quantum Signal Processing for Linear PDEs: Circuit Design and Experimental Validation
Hyeongjin Kim, Revathi Jambunathan, Jan Balewski +1
Quantum algorithms offer new avenues for solving partial differential equations (PDEs). While the potential for end-to-end quantum advantage is at present not well understood, rece…
cond-mat.stat-mech2026
Temperature and integrability-breaking correspondence via adiabatic transformations
Hyeongjin Kim, Souvik Bandyopadhyay, Anatoli Polkovnikov
We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Dec…
cond-mat.stat-mech2025
Confined and deconfined chaos in classical spin systems
Hyeongjin Kim, Robin Schäfer, David M. Long +2
Weakly perturbed integrable many-body systems are typically chaotic, and thermal at late times. However, there are distinct relationships between the timescales for thermalization…