394 citations · 867 across the 11 of their papers we have counts for
6 papers · 1 filter
Hard combinatorial problems and minor embeddings on lattice graphs
Andrew Lucas
Today, hardware constraints are an important limitation on quantum adiabatic optimization algorithms. Firstly, computational problems must be formulated as quadratic unconstrained…
Emergent entropy production and hydrodynamics in quantum many-body systems
Tom Banks, Andrew Lucas
We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by…
Holography and hydrodynamics with weakly broken symmetries
Sašo Grozdanov, Andrew Lucas, Napat Poovuttikul
Hydrodynamics is a theory of long-range excitations controlled by equations of motion that encode the conservation of a set of currents (energy, momentum, charge, etc.) associated…
Operator size at finite temperature and Planckian bounds on quantum dynamics
Andrew Lucas
It has long been believed that dissipative time scales obey a "Planckian" bound in strongly coupled quantum systems. Despite much circu…
Fast scrambling on sparse graphs
Gregory Bentsen, Yingfei Gu, Andrew Lucas
Given a quantum many-body system with few-body interactions, how rapidly can quantum information be hidden during time evolution? The fast scrambling conjecture is that the time to…
Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
Andrew Lucas, Sankar Das Sarma
We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-i…