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cond-mat.stat-mech2019★ 1 cited

On multidimensional record patterns

P. L. Krapivsky, J. M. Luck

Multidimensional record patterns are random sets of lattice points defined by means of a recursive stochastic construction. The patterns thus generated owe their richness to the fa…

cond-mat.stat-mech2019★ 15 cited

Landau Theory for Non-Equilibrium Steady States

Camille Aron, Claudio Chamon

We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyti…

cond-mat.stat-mech2019★ 25 cited

Quantum echo dynamics in the Sherrington-Kirkpatrick model

Silvia Pappalardi, Anatoli Polkovnikov, Alessandro Silva

Understanding the footprints of chaos in quantum-many-body systems has been under debate for a long time. In this work, we study the echo dynamics of the Sherrington-Kirkpatrick (S…

cond-mat.stat-mech2019★ 2 cited

Emergent Snake Magnetic Domains in Canted Kagome Ice

Wen-Han Kao, Gia-Wei Chern, Ying-Jer Kao

We study the two-dimensional kagome-ice model derived from a pyrochlore lattice with second- and third-neighbor interactions. The canted moments align along the local $\langle 111…

cond-mat.stat-mech2019★ 5 cited

Hamiltonian Dynamics of a Sum of Interacting Random Matrices

Matteo Bellitti, Siddhardh Morampudi, Chris R. Laumann

In ergodic quantum systems, physical observables have a non-relaxing component if they "overlap" with a conserved quantity. In interacting microscopic models, how to isolate the no…

cond-mat.stat-mech2019★ 9 cited

Prediction in a driven-dissipative system displaying a continuous phase transition

Chon-Kit Pun, Sakib Matin, W. Klein +1

Prediction in complex systems at criticality is believed to be very difficult, if not impossible. Of particular interest is whether earthquakes, whose distribution follows a power…

cond-mat.stat-mech2019★ 2 cited

Random walk through a fertile site

Michel Bauer, P. L. Krapivsky, Kirone Mallick

We study the dynamics of random walks hopping on homogeneous hyper-cubic lattices and multiplying at a fertile site. In one and two dimensions, the total number of…

cond-mat.stat-mech2019★ 63 cited

Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics

Shiyu Zhou, Zhi-Cheng Yang, Alioscia Hamma +1

Clifford circuits are insufficient for universal quantum computation or creating -designs with . While the entanglement entropy is not a telltale of this insufficiency,…

cond-mat.stat-mech2019★ 4 cited

Exclusion in Junction Geometries

K. Zhang, P. L. Krapivsky, S. Redner

We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the en…

cond-mat.stat-mech2019★ 6 cited

Jamming and Tiling in Fragmentation of Rectangles

E. Ben-Naim, P. L. Krapivsky

We investigate a stochastic process where a rectangle breaks into smaller rectangles through a series of horizontal and vertical fragmentation events. We focus on the case where bo…

cond-mat.stat-mech2019★ 7 cited

Obstacles to quantum annealing in a planar embedding of XORSAT

Pranay Patil, Stefanos Kourtis, Claudio Chamon +2

We introduce a planar embedding of the k-regular k-XORSAT problem, in which solutions are encoded in the ground state of a classical statistical mechanics model of reversible logic…

cond-mat.stat-mech2019★ 12 cited

Entanglement entropy of the long-range Dyson hierarchical model

Silvia Pappalardi, Pasquale Calabrese, Giorgio Parisi

We study the ground state entanglement entropy of the quantum Dyson hierarchical spin chain in which the interaction decays algebraically with the distance as . We exploi…

cond-mat.stat-mech2019★ 22 cited

Exact results for the first-passage properties in a class of fractal networks

Junhao Peng, Elena Agliari

In this work we consider a class of recursively-grown fractal networks , whose topology is controlled by two integer parameters and . We first analyse the structural…

cond-mat.stat-mech2019★ 3 cited

Coverage fluctuations in theater models

P. L. Krapivsky, J. M. Luck

We introduce the theater model, which is the simplest variant of directed random sequential adsorption in one dimension with point source and steric interactions. Particles enter s…

cond-mat.stat-mech2019★ 4 cited

Geometrical selection in growing needles

P. L. Krapivsky, L. I. Nazarov, M. V. Tamm

We investigate the growth of needles from a flat substrate. We focus on the situation when needles suddenly begin to grow from the seeds randomly distributed on the line. The width…

cond-mat.stat-mech2019★ 6 cited

Phase boundary location with information-theoretic entropy in tensor renormalization group flows

Adil A. Gangat, Ying-Jer Kao

We present a simple and efficient tensor network method to accurately locate phase boundaries of two-dimensional classical lattice models. The method utilizes only the information-…

cond-mat.stat-mech2019★ 13 cited

Occupation time statistics of a gas of interacting diffusing particles

Tal Agranov, P. L. Krapivsky, Baruch Meerson

The time which a diffusing particle spends in a certain region of space is known as the occupation time, or the residence time. Recently the joint occupation time statistics of an…