Onset of random matrix behavior in scrambling systems
A bstract The fine grained energy spectrum of quantum chaotic systems is widely believed to
be described by random matrix statistics. A basic scale in such a system is the energy range …
be described by random matrix statistics. A basic scale in such a system is the energy range …
Unique Games hardness of Quantum Max-Cut, and a conjectured vector-valued Borell's inequality
The Gaussian noise stability of a function f: ℝ n→{-1, 1} is the expected value of f (x)· f (y)
over ρ-correlated Gaussian random variables x and y. Borell's inequality states that for—1≤ …
over ρ-correlated Gaussian random variables x and y. Borell's inequality states that for—1≤ …
Noisy coupled qubits: Operator spreading and the Fredrickson-Andersen model
DA Rowlands, A Lamacraft - Physical Review B, 2018 - APS
We study noise-averaged observables for a system of exchange-coupled quantum spins
(qubits), each subject to a stochastic drive, by establishing map**s onto stochastic models …
(qubits), each subject to a stochastic drive, by establishing map**s onto stochastic models …
[HTML][HTML] Composing arbitrarily many SU (N) fundamentals
We compute the multiplicity of the irreducible representations in the decomposition of the
tensor product of an arbitrary number n of fundamental representations of SU (N), and we …
tensor product of an arbitrary number n of fundamental representations of SU (N), and we …
Singular solutions, repeated roots and completeness for higher-spin chains
We investigate the completeness of the solutions of the Bethe equations for the integrable
spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing the …
spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing the …
[HTML][HTML] Spin multiplicities
Spin multiplicities - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals &
Books Search RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier …
Books Search RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier …
Composition of many spins, random walks and statistics
The multiplicities of the decomposition of the product of an arbitrary number n of spin s states
into irreducible SU (2) representations are computed. Two complementary methods are …
into irreducible SU (2) representations are computed. Two complementary methods are …
On the composition of an arbitrary collection of SU (2) spins: an enumerative combinatoric approach
JA Gyamfi, V Barone - Journal of Physics A: Mathematical and …, 2018 - iopscience.iop.org
The whole enterprise of spin compositions can be recast as simple enumerative
combinatoric problems. We show here that enumerative combinatorics (Stanley 2011 …
combinatoric problems. We show here that enumerative combinatorics (Stanley 2011 …
The spectrum and convergence rates of exclusion and interchange processes on the complete graph
We give a short and completely elementary method to find the full spectrum of the exclusion
process and a nicely limited superset of the spectrum of the interchange process (aka …
process and a nicely limited superset of the spectrum of the interchange process (aka …
[PDF][PDF] Monotonicity result for the simple exclusion process on finite connected graphs.
The simple exclusion process studied in this paper consists of a system of K particles
moving on the vertex set of a finite undirected connected graph. If there is one, the particle at …
moving on the vertex set of a finite undirected connected graph. If there is one, the particle at …