Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Berkooz, Micha"'
Autor:
Berkooz, Micha, Mamroud, Ohad
We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods. We describ
Externí odkaz:
http://arxiv.org/abs/2407.09396
We study transitions from chaotic to integrable Hamiltonians in the double scaled SYK and $p$-spin systems. The dynamics of our models is described by chord diagrams with two species. We begin by developing a path integral formalism of coarse grainin
Externí odkaz:
http://arxiv.org/abs/2403.05980
We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable $p$-spin systems, in a limit where they are d
Externí odkaz:
http://arxiv.org/abs/2403.01950
Publikováno v:
Phys. Rev. D 109, 046013 (2024)
Parisi's hypercube model describes a charged particle hopping on a $d$-dimensional hypercube with disordered background fluxes in the large $d$ limit. It was noted previously [Jia and Verbaarschot, J. High Energy Phys. 11 (2020) 154] that the hypercu
Externí odkaz:
http://arxiv.org/abs/2310.12335
Publikováno v:
Phys. Rev. Lett. 132 (2024), 081601
We consider a model of Parisi where a single particle hops on an infinite-dimensional hypercube, under the influence of a uniform but disordered magnetic flux. We reinterpret the hypercube as the Fock-space graph of a many-body Hamiltonian and the fl
Externí odkaz:
http://arxiv.org/abs/2303.18182
We study the double-scaling limit of SYK (DS-SYK) model and elucidate the underlying quantum group symmetry. The DS-SYK model is characterized by a parameter $q$, and in the $q\rightarrow 1$ and low-energy limit it goes over to the familiar Schwarzia
Externí odkaz:
http://arxiv.org/abs/2212.13668
We study the quantum Lyapunov exponent $\lambda_L$ in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of $N$ models coupled by disorder at large $N$, generali
Externí odkaz:
http://arxiv.org/abs/2207.11980
We discuss generalizations of the TFD to a density matrix on the doubled Hilbert space. We suggest that a semiclassical wormhole corresponds to a certain class of such density matrices, and specify how they are constructed. Different semi-classical p
Externí odkaz:
http://arxiv.org/abs/2202.11381
We study the Lyapunov exponent $\lambda_L$ in quantum field theories with spacetime-independent disorder interactions. Generically $\lambda_L$ can only be computed at isolated points in parameter space, and little is known about the way in which chao
Externí odkaz:
http://arxiv.org/abs/2111.06108
Publikováno v:
J. High Energ. Phys. 2021, 196 (2021)
We consider multi-energy level distributions in the SYK model, and in particular, the role of global fluctuations in the density of states of the SYK model. The connected contributions to the moments of the density of states go to zero as $N \to \inf
Externí odkaz:
http://arxiv.org/abs/2104.03336