Zobrazeno 1 - 10
of 281
pro vyhledávání: '"Sirker, J."'
Autor:
Monkman, K., Sirker, J.
In a finite one-dimensional non-Hermitian system, the number of zero modes does not necessarily reflect the topology of the system. This is known as the breakdown of the bulk-boundary correspondence and has lead to misconceptions about the topologica
Externí odkaz:
http://arxiv.org/abs/2405.09728
We consider the growth of a local operator $A$ in one-dimensional many-body systems with Hamiltonian $H$ by calculating the $k$-fold commutator $[H,[H,[...,[H,A]]]]$. We derive general bounds for the operator norm of this commutator in free and inter
Externí odkaz:
http://arxiv.org/abs/2401.08031
Publikováno v:
Phys. Rev. B 109, 155128 (2024)
We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice models. The first method is based on purification, which allows for the exa
Externí odkaz:
http://arxiv.org/abs/2311.13799
We investigate how topological Chern numbers can be defined when single-particle states hybridize with continua. We do so exemplarily in a bosonic Haldane model at zero temperature with an additional on-site decay of one boson into two and the conjug
Externí odkaz:
http://arxiv.org/abs/2310.09957
Autor:
Monkman, K., Sirker, J.
Publikováno v:
J. Phys. A: Math. Theor. 56, 495001 (2023)
We discuss some general properties of the symmetry-resolved von-Neumann entanglement entropy in systems with particle number conservation and describe how to obtain the entanglement components from correlation functions for Gaussian systems. We intro
Externí odkaz:
http://arxiv.org/abs/2307.05820
Autor:
Monkman, K., Sirker, J.
Publikováno v:
Phys. Rev. B 107, 125108 (2023)
For a many-body system of arbitrary dimension, we consider fermionic ground states of non-interacting Hamiltonians invariant under a $C_2$ cyclic group. The absolute difference $\Delta$ between the number of occupied symmetric and anti-symmetric sing
Externí odkaz:
http://arxiv.org/abs/2210.07406
Autor:
Monkman, K., Sirker, J.
Publikováno v:
Phys. Rev. B 108, 125116 (2023)
We consider the topological protection of entanglement and particle fluctuations for a general one-dimensional chiral topological insulator with winding number $\mathcal{I}$. We prove, in particular, that when the periodic system is divided spatially
Externí odkaz:
http://arxiv.org/abs/2207.10558
Publikováno v:
Phys. Rev. Lett. 129, 096602 (2022)
We consider non-linear ballistic spin transport in the XXZ spin chain and derive an analytical result for the non-linear Drude weight $D^{(3)}$ at infinite temperatures. In contrast to the linear Drude weight $D^{(1)}$, we find that the result not on
Externí odkaz:
http://arxiv.org/abs/2202.08410
Publikováno v:
Ann. Phys. (N.Y) 435, 168481 (2021)
We study quench dynamics in a t-V chain of spinless fermions (equivalent to the spin-1/2 Heisenberg chain) with strong potential disorder. For this prototypical model of many-body localization we have recently argued that -- contrary to the establish
Externí odkaz:
http://arxiv.org/abs/2012.12436
Publikováno v:
Phys. Rev. B 102, 195132 (2020)
We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare the results
Externí odkaz:
http://arxiv.org/abs/2010.06678