Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Roeck, Wojciech"'
We generalize the proof of stability of topological order, due to Bravyi, Hastings and Michalakis, to stabilizer Hamiltonians corresponding to low-density parity check (LDPC) codes without the restriction of geometric locality in Euclidean space. We
Externí odkaz:
http://arxiv.org/abs/2411.02384
Symmetry protected states (SPT's) of quantum spin systems were studied by several authors. For one-dimensional systems (spin chains), there is an essentially complete and rigorous understanding: SPT's corresponding to finite on-site symmetry groups $
Externí odkaz:
http://arxiv.org/abs/2409.01112
We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length $L$ vanishes faster than $1/L$. This means that transport is anomalous in such chains. This phenomenon was first claimed in \cite{Basko2006,gornyi
Externí odkaz:
http://arxiv.org/abs/2408.04338
We establish rigorous bounds on dissipative transport in the disordered Klein-Gordon chain with quartic on-site potential, governed by a parameter $\lambda$. At $\lambda = 0$, the chain is harmonic and transport is fully suppressed by Anderson locali
Externí odkaz:
http://arxiv.org/abs/2308.11243
We study the breakdown of Anderson localization in the one-dimensional nonlinear Klein-Gordon chain, a prototypical example of a disordered classical many-body system. A series of numerical works indicate that an initially localized wave packet sprea
Externí odkaz:
http://arxiv.org/abs/2308.10572
This paper originates from lectures delivered at the summer school "Fundamental Problems in Statistical Physics XV" in Bruneck, Italy, in 2021. We give a brief and limited introduction into ergodicity-breaking induced by disorder. As the title sugges
Externí odkaz:
http://arxiv.org/abs/2308.08462
Publikováno v:
Phys. Rev. Research 6, 023030 (2024)
In the field of ergodicity-breaking phases, it has been recognized that quantum avalanches can destabilize many-body localization at a wide range of disorder strengths. This has in particular been demonstrated by the numerical study of a toy model, s
Externí odkaz:
http://arxiv.org/abs/2308.07431
Publikováno v:
Phys. Rev. B 109, L081117 (2024)
We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at strong disorder and we couple it to an ergodic bubble, modeled by a r
Externí odkaz:
http://arxiv.org/abs/2308.01350
Recently, a theory has been proposed that classifies cyclic processes of symmetry protected topological (SPT) quantum states. For the case of spin chains, i.e.\ one-dimensional bosonic SPT's, this theory implies that cyclic processes are classified b
Externí odkaz:
http://arxiv.org/abs/2204.03763
This work justifies the linear response formula for the Hall conductance of a two-dimensional disordered system. The proof rests on controlling the dynamics associated with a random time-dependent Hamiltonian. The principal challenge is related to th
Externí odkaz:
http://arxiv.org/abs/2203.03786