research overview
- My group works at the interface of theoretical condensed matter, high energy, mathematical and atomic physics. We specialize in the study of dynamics in strongly interacting quantum many-body systems.
- Contact Info
Lucas, Andrew James Assistant Professor
Positions
- Assistant Professor, Physics
Research Areas
Research
Publications
selected publications
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journal article
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Measurement-induced phase transitions in quantum automaton circuits.
Physical Review B.
2020
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Holographic subdiffusion.
The Journal of High Energy Physics.
2020
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Operator growth bounds in a cartoon matrix model.
Journal of Mathematical Physics.
122301-122301.
2020
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Many-body quantum dynamics slows down at low density.
SciPost Physics.
2020
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Bound on quantum scrambling with all-to-all interactions.
Physical Review A.
2020
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Non-perturbative dynamics of the operator size distribution in the Sachdev–Ye–Kitaev model.
Journal of Mathematical Physics.
081901-081901.
2020
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Fracton hydrodynamics
2020
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Hierarchy of Linear Light Cones with Long-Range Interactions.
Physical Review X.
2020
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Emergent conformal symmetry in nonunitary random dynamics of free fermions
2020
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Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder.
The Journal of High Energy Physics.
2020
-
Quantum butterfly effect in polarized Floquet systems.
Physical Review B.
2020
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Sign of viscous magnetoresistance in electron fluids.
Physical Review B.
2020
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Finite Speed of Quantum Scrambling with Long Range Interactions.
Physical Review Letters.
2019
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Hard combinatorial problems and minor embeddings on lattice graphs.
Quantum Information Processing.
2019
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Electron hydrodynamics with a polygonal Fermi surface.
Physical Review B.
2019
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Operator Size at Finite Temperature and Planckian Bounds on Quantum Dynamics.
Physical Review Letters.
2019
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Holography and hydrodynamics with weakly broken symmetries.
Physical Review D.
2019
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Fast scrambling on sparse graphs.
Proceedings of the National Academy of Sciences of USA.
6689-6694.
2019
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Emergent entropy production and hydrodynamics in quantum many-body systems.
Physical Review E.
2019
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Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals.
Physical Review B.
2018
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Electronic sound modes and plasmons in hydrodynamic two-dimensional metals.
Physical Review B.
2018
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Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover.
Applied Physics Letters.
124101-124101.
2018
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Kinetic Theory of Electronic Transport in Random Magnetic Fields.
Physical Review Letters.
2018
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Kinetic theory of transport for inhomogeneous electron fluids.
Physical Review B.
2018
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Origin of the Drude peak and of zero sound in probe brane holography.
Physics Letters B: Nuclear Physics and Particle Physics.
569-574.
2017
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Resistivity bound for hydrodynamic bad metals.
Proceedings of the National Academy of Sciences of USA.
11344-11349.
2017
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Spread of entanglement in a Sachdev-Ye-Kitaev chain.
The Journal of High Energy Physics.
2017
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Hydrodynamic charge and heat transport on inhomogeneous curved spaces.
Physical Review B.
2017
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Quantum critical response: from conformal perturbation theory to holography.
The Journal of High Energy Physics.
2017
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Magnetoresistance in relativistic hydrodynamics without anomalies.
The Journal of High Energy Physics.
2017
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Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains.
SciPost Physics.
2017
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Stokes paradox in electronic Fermi liquids.
Physical Review B.
2017
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Dynamical Response near Quantum Critical Points.
Physical Review Letters.
2017
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Charge diffusion and the butterfly effect in striped holographic matter.
The Journal of High Energy Physics.
2016
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Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals.
Proceedings of the National Academy of Sciences of USA.
9463-9468.
2016
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Shock waves, rarefaction waves, and nonequilibrium steady states in quantum critical systems.
Physical Review D.
2016
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Sound waves and resonances in electron-hole plasma.
Physical Review B.
2016
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Conductivity bounds in probe brane models.
The Journal of High Energy Physics.
1-18.
2016
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Incoherent thermal transport from dirty black holes.
Physical Review D.
2016
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Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene..
Science.
1058-1061.
2016
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Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene.
Physical Review B.
2016
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Absence of Disorder-Driven Metal-Insulator Transitions in Simple Holographic Models.
Physical Review Letters.
2015
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Hydrodynamic transport in strongly coupled disordered quantum field theories.
New Journal of Physics.
113007-113007.
2015
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Energy flow in quantum critical systems far from equilibrium.
Nature Physics.
509-514.
2015
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Memory matrix theory of magnetotransport in strange metals.
Physical Review B: Condensed Matter and Materials Physics.
2015
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Non-equilibrium steady states in the Klein–Gordon theory.
Journal of Physics A: Mathematical and Theoretical.
095002-095002.
2015
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Conductivity of a strange metal: from holography to memory functions.
The Journal of High Energy Physics.
2015
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Conductivity of weakly disordered strange metals: From conformal to hyperscaling-violating regimes.
Nuclear Physics B.
239-268.
2015
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Phenomenology of nonrelativistic parity-violating hydrodynamics in 2+1 dimensions.
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics.
2014
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Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid.
Physical Review A: Atomic, Molecular and Optical Physics.
2014
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Simple model for multiple-choice collective decision making.
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics.
2014
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Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder.
Physical Review D: Particles, Fields, Gravitation and Cosmology.
2014
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Parallel Implementation of Fast Randomized Algorithms for Low Rank Matrix Decomposition.
Parallel Processing Letters.
1450004-1450004.
2014
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Conformal field theories in a periodic potential: Results from holography and field theory.
Physical Review D: Particles, Fields, Gravitation and Cosmology.
2014
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Ising formulations of many NP problems.
Frontiers in Physics.
2014
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Binary decision making with very heterogeneous influence.
Journal of Statistical Mechanics: Theory and Experiment.
P09024-P09024.
2013
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Multistable binary decision making on networks.
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics.
2013
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Undergraduate experiment in superconductor point-contact spectroscopy with a Nb/Au junction.
American Journal of Physics.
133-140.
2012
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In vivo evidence of differential impact of typical and atypical antipsychotics on intracortical myelin in adults with schizophrenia.
Schizophrenia Research.
322-331.
2009
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Measurement-induced phase transitions in quantum automaton circuits.
Physical Review B.
2020
Teaching
courses taught
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PHYS 1120 - General Physics 2
Teaching Assistant - Spring 2020
Three lect., one rec. per week, plus three evening exams in the fall and spring semesters. Second semester of three-semester introductory sequence for science and engineering students. Covers electricity and magnetism, wave motion and optics. Normally is taken concurrently with PHYS 1140. Degree credit not granted for this course and PHYS 1125. -
PHYS 4410 - Quantum Mechanics 2
Primary Instructor - Fall 2020
Extends quantum mechanics to include perturbation theory and its applications to atomic fine structure, multi-particle systems, interactions with external forces, the periodic table and dynamical processes including electromagnetic transition rates. -
PHYS 5040 - Intermediate Mathematical Physics 2
Primary Instructor - Spring 2021
Continuation of PHYS 5030. Includes group theory, special functions, integral transforms, integral equations and calculus of variations. Recommended prerequisite: PHYS 5030. Same as MATH 5040. -
PHYS 7450 - Theory of Solid State 2
Primary Instructor - Fall 2019
Second semester of condensed matter physics, covers topics in soft condensed matter physics, liquid crystals, semiconductors, Quantum Hall effect, Fractional Quantum Hall effect, superconductivity and other topics at the discretion of the instructor.
Background
education and training
- Ph.D., Harvard University 2016
- B.S., Stanford University 2012
awards and honors
International Activities
global connections related to teaching and scholarly work (in recent years)
- Germany Country
- Israel Country
- Italy Country
- Netherlands Country
- Russian Federation Country
- United Kingdom Country