244 citations · 1k across the 24 of their papers we have counts for
24 papers
Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm
Abu Musa Patoary, Amit Vikram, Laura Shou +1
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplicatio…
Strongly-Correlated Electron-Photon Systems
Jacqueline Bloch, Andrea Cavalleri, Victor Galitski +2
An important goal of modern condensed matter physics involves the search for states of matter with new emergent properties and desirable functionalities. Although the tools for mat…
On the path integral approach to quantum anomalies in interacting models
Alireza Parhizkar, Colin Rylands, Victor Galitski
The prediction and subsequent discovery of topological semimetal phases of matter in solid state systems has instigated a surge of activity investigating the exotic properties of t…
Exact universal bounds on quantum dynamics and fast scrambling
Amit Vikram, Victor Galitski
Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over…
Field theory approach to eigenstate thermalization in random quantum circuits
Yunxiang Liao, Victor Galitski
We use field-theoretic methods to explore the statistics of eigenfunctions of the Floquet operator for a large family of Floquet random quantum circuits. The correlation function o…
Dynamical quantum ergodicity from energy level statistics
Amit Vikram, Victor Galitski
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is…
Monopole Josephson Effects in a Dirac Spin Liquid
Gautam Nambiar, Daniel Bulmash, Victor Galitski
Dirac Spin liquids (DSLs) are gapless featureless states, yet interesting by virtue of the effective field theory describing them -- (2+1)-dimensional quantum electrodynamics (QED$…
Effective field theory of random quantum circuits
Yunxiang Liao, Victor Galitski
Quantum circuits have been widely used as a platform to simulate generic quantum many-body systems. In particular, random quantum circuits provide a means to probe universal featur…
Dark Andreev States in Superconductors
Andrey Grankin, Victor Galitski
The conventional Bardeen-Cooper-Schrieffer (BCS) model of superconductivity assumes a frequency-independent order parameter, which allows a relatively simple description of the sup…
Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
Shankar Balasubramanian, Daniel Bulmash, Victor Galitski +1
We construct a broad class of frustration-free quantum vertex models in 3+1D whose ground states are weighted superpositions of classical 3D vertex model configurations. Our result…
Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
Shankar Balasubramanian, Victor Galitski, Ashvin Vishwanath
We study a general class of easy-axis spin models on a lattice of corner sharing even-sided polygons with all-to-all interactions within a plaquette. The low energy description cor…
Universal Dephasing Mechanism of Many-Body Quantum Chaos
Yunxiang Liao, Victor Galitski
Ergodicity is a fundamental principle of statistical mechanics underlying the behavior of generic quantum many-body systems. However, how this universal many-body quantum chaotic r…
Non-Abelian bosonization in a (3+1)-d Kondo semimetal via quantum anomalies
Colin Rylands, Alireza Parhizkar, Victor Galitski
Kondo lattice models have established themselves as an ideal platform for studying the interplay between topology and strong correlations such as in topological Kondo insulators or…
Probing many-body quantum chaos with quantum simulators
Lata Kh Joshi, Andreas Elben, Amit Vikram +3
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs)…
Interaction-driven breakdown of dynamical localization in a kicked quantum gas
Alec Cao, Roshan Sajjad, Hector Mas +7
Quantum interference can terminate energy growth in a continually kicked system, via a single-particle ergodicity-breaking mechanism known as dynamical localization. The effect of…
Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
Colin Rylands, Emil A. Yuzbashyan, Victor Gurarie +2
Non-analyticities in the logarithm of the Loschmidt echo, known as dynamical quantum phase transitions [DQPTs], are a recently introduced attempt to classify the myriad of possible…
Chiral Anomaly in Interacting Condensed Matter Systems
Colin Rylands, Alireza Parhizkar, Anton A. Burkov +1
The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it…
Photon-mediated Peierls Transition of a 1D Gas in a Multimode Optical Cavity
Colin Rylands, Yudan Guo, Benjamin L. Lev +2
The Peierls instability toward a charge density wave is a canonical example of phonon-driven strongly correlated physics and is intimately related to topological quantum matter and…
Dynamical Quantum Phase transitions and Recurrences in the Non-Equilibrium BCS model
Colin Rylands, Victor Galitski
Non-equilibrium aspects of the BCS model have fascinated physicists for decades, from the seminal works of Eliashberg to modern realizations in cold atom experiments. The latter sc…
Spiral antiferromagnets beyond the spin-wave approximation: frustrated and Heisenberg models in the honeycomb lattice
Andrea Di Ciolo, Juan Carrasquilla, Federico Becca +2
We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 and Hei…
Nature of the phases in the frustrated XY model on the honeycomb lattice
Juan Carrasquilla, Andrea Di Ciolo, Federico Becca +2
We study the phase diagram of the frustrated XY model on the honeycomb lattice by using accurate correlated wave functions and variational Monte Carlo simulations. Our results sugg…
A theory of Topological Kondo Insulators
Maxim Dzero, Kai Sun, Piers Coleman +1
We examine how the properties of the Kondo insulators change when the symmetry of the underlying crystal field multiplets is taken into account. We employ the Anderson lattice mode…
Topological Phase Transitions for Interacting Finite Systems
Christopher N. Varney, Kai Sun, Marcos Rigol +1
In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level…
Interaction effects and quantum phase transitions in topological insulators
Christopher N. Varney, Kai Sun, Marcos Rigol +1
We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its to…