Surface Lifshits tails for random quantum Hamiltonians
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4977753
Abstract: We consider Schrodinger operators on L2(ℝd)⊗L2(ℝl) of the form Hω=H⊥⊗I∥+I⊥⊗H∥+Vω, where H⊥ and H∥ are Schrodinger operators on L2(ℝd) and L2(ℝl), respectively, and Vω(x,y):=∑ξ∈ℤdλξ(ω)v(x−ξ,y),x∈ℝd,y∈ℝl is a random “surface potential.” We investigate the behavior of the… read more here.
Keywords: surface lifshits; random quantum; integrated density; tails random ... See more keywords
Moments of Random Quantum Marginals via Weingarten Calculus
Sign Up to like & getrecommendations! Published in 2022 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnad105
Abstract: The randomized quantum marginal problem asks about the joint distribution of the partial traces (“marginals”) of a uniform random Hermitian operator with fixed spectrum acting on a space of tensors. We introduce a new approach… read more here.
Keywords: random quantum; quantum marginals; marginals via; moments random ... See more keywords
Principle of majorization: Application to random quantum circuits
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.104.012602
Abstract: We test the principle of majorization [J. I. Latorre and M. A. Martín-Delgado, Phys. Rev. A 66, 022305 (2002)] in random circuits. Three classes of circuits were considered: (i) universal, (ii) classically simulatable, and (iii)… read more here.
Keywords: quantum circuits; random quantum; majorization; random ... See more keywords
Self-averaging of random quantum dynamics
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DOI: 10.1103/physreva.98.022111
Abstract: Stochastic dynamics of a quantum system driven by $N$ statistically independent random sudden quenches in a fixed time interval is studied. We reveal that with growing $N$ the system approaches a deterministic limit indicating self-averaging… read more here.
Keywords: quantum; random quantum; self averaging; unitary evolution ... See more keywords
Critical properties of the measurement-induced transition in random quantum circuits
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.060301
Abstract: We numerically study the measurement-driven quantum phase transition of Haar-random quantum circuits in $1+1$ dimensions. By analyzing the tripartite mutual information we are able to make a precise estimate of the critical measurement rate $p_c… read more here.
Keywords: quantum circuits; transition; random quantum; stabilizer circuits ... See more keywords
Asymptotically Exact Theory for Nonlinear Spectroscopy of Random Quantum Magnets.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.237601
Abstract: We study nonlinear response in quantum spin systems near infinite-randomness critical points. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in such systems. We present exact… read more here.
Keywords: nonlinear response; random quantum; random; spectroscopy ... See more keywords
Effective Field Theory of Random Quantum Circuits
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DOI: 10.3390/e24060823
Abstract: 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 features of many-body quantum chaos and ergodicity. Some such… read more here.
Keywords: field theory; effective field; random quantum; quantum circuits ... See more keywords
Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.89.022001
Abstract: Applications of neural networks to condensed matter physics are becoming popular and beginning to be well accepted. Obtaining and representing the ground and excited state wave functions are exampl... read more here.
Keywords: wave functions; random quantum; phase diagrams; quantum systems ... See more keywords