Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Lamacraft, Austen"'
Autor:
Claeys, Pieter W., Lamacraft, Austen
Publikováno v:
J. Phys. A 57 405301 (2024)
Many-body quantum dynamics defined on a spatial lattice and in discrete time -- either as stroboscopic Floquet systems or quantum circuits -- has been an active area of research for several years. Being discrete in space and time, a natural question
Externí odkaz:
http://arxiv.org/abs/2406.03781
Autor:
Kim, Sun Woo P., Lamacraft, Austen
We introduce and study the planted directed polymer, in which the path of a random walker is inferred from noisy 'images' accumulated at each timestep. Formulated as a nonlinear problem of Bayesian inference for a hidden Markov model, this problem is
Externí odkaz:
http://arxiv.org/abs/2404.07263
Publikováno v:
J. Phys. A: Math. Theor. 57 335301 (2024)
Dual-unitary brickwork circuits are an exactly-solvable model for many-body chaotic quantum systems, based on 2-site gates which are unitary in both the time and space directions. Prosen has recently described an alternative model called 'dual-unitar
Externí odkaz:
http://arxiv.org/abs/2302.07280
Publikováno v:
Phys. Rev. Research 4, 043212 (2022)
Dual-unitary circuits have emerged as a minimal model for chaotic quantum many-body dynamics in which the dynamics of correlations and entanglement remains tractable. Simultaneously, there has been intense interest in the effect of measurements on th
Externí odkaz:
http://arxiv.org/abs/2207.00025
Autor:
Claeys, Pieter W., Lamacraft, Austen
Publikováno v:
Quantum 6, 738 (2022)
Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by pe
Externí odkaz:
http://arxiv.org/abs/2202.12306
The Fredkin spin chain serves as an interesting theoretical example of a quantum Hamiltonian whose ground state exhibits a phase transition between three distinct phases, one of which violates the area law. Here we consider a classical stochastic ver
Externí odkaz:
http://arxiv.org/abs/2202.06989
Publikováno v:
Phys. Rev. Lett. 128, 246603 (2022)
The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian SU(2) symm
Externí odkaz:
http://arxiv.org/abs/2110.06951
Autor:
Claeys, Pieter W., Lamacraft, Austen
Publikováno v:
Phys. Rev. Research 4, 013033 (2022)
In specific open systems with collective dissipation the Liouvillian can be mapped to a non-Hermitian Hamiltonian. We here consider such a system where the Liouvillian is mapped to an XXZ Richardson-Gaudin integrable model and detail its exact Bethe
Externí odkaz:
http://arxiv.org/abs/2108.01677
Publikováno v:
Entropy. 2021; 23(9):1134
The Schr\"odinger bridge problem (SBP) finds the most likely stochastic evolution between two probability distributions given a prior stochastic evolution. As well as applications in the natural sciences, problems of this kind have important applicat
Externí odkaz:
http://arxiv.org/abs/2106.02081
Publikováno v:
SciPost Phys. 12, 007 (2022)
We consider a unitary circuit where the underlying gates are chosen to be R-matrices satisfying the Yang-Baxter equation and correlation functions can be expressed through a transfer matrix formalism. These transfer matrices are no longer Hermitian a
Externí odkaz:
http://arxiv.org/abs/2106.00640