Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Wojciech De Roeck"'
Publikováno v:
Quantum, Vol 6, p 793 (2022)
A gapped ground state of a quantum spin system has a natural length scale set by the gap. This length scale governs the decay of correlations. A common intuition is that this length scale also controls the spatial relaxation towards the ground state
Externí odkaz:
https://doaj.org/article/3980f2b7a8324123b520789c5935cb19
Publikováno v:
Physical Review X, Vol 9, Iss 2, p 021027 (2019)
Prethermalization has been extensively studied in systems close to integrability. We propose a more general, yet conceptually simpler, setup for this phenomenon. We consider a—possibly nonintegrable—reference dynamics, weakly perturbed so that th
Externí odkaz:
https://doaj.org/article/4def62cc0df14f4697a69bba3d52eedc
Akademický článek
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Publikováno v:
Analytic Trends in Mathematical Physics. :23-41
We relate explicitly the adiabatic curvature -- in flux space -- of an interacting Hall insulator with nondegenerate ground state to various linear response coefficients, in particular the Kubo response and the adiabatic response. The flexibility of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d459947f3f3b9137e78445159b564da
https://doi.org/10.1090/conm/741/14918
https://doi.org/10.1090/conm/741/14918
Publikováno v:
Analytic Trends in Mathematical Physics. :43-58
In these lecture notes, we review the adiabatic theorem in quantum mechanics, focusing on a recent extension to many-body systems. The role of locality is emphasized and the relation to the quasi-adiabatic flow discussed. An important application of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47d1f2c5ed3c5fd72bc958103d9bb433
https://doi.org/10.1090/conm/741/14919
https://doi.org/10.1090/conm/741/14919
Autor:
Wojciech De Roeck, Manfred Salmhofer
Publikováno v:
Communications in Mathematical Physics. 365:773-796
We consider systems of weakly interacting fermions on a lattice. The corresponding free fermionic system is assumed to have a ground state separated by a gap from the rest of the spectrum. We prove that, if both the interaction and the free Hamiltoni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ce8a880d2e301d47e2bec4490e245a4
https://doi.org/10.1007/s00220-018-3211-z
https://doi.org/10.1007/s00220-018-3211-z
Autor:
Nicholas Crawford, Wojciech De Roeck
Publikováno v:
Annales Henri Poincaré. 19:2651-2671
We prove a general stability property concerning finite-range, attractive interacting particle systems on $$\{-\,1, 1\}^{{\mathbb {Z}}^d}$$ . If the particle system has a unique stationary measure and, in a precise sense, relaxes to this stationary m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bab9992a135d8490eb261a12014b7887
https://doi.org/10.1007/s00023-018-0702-6
https://doi.org/10.1007/s00023-018-0702-6
Publikováno v:
Communications in Mathematical Physics. 361:997-1027
The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter $\epsilon$. Under suitable assumptions the solution of the time-inhomogenous equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2fd4d79b753d06b27e6d2c5505abde3
https://doi.org/10.1007/s00220-018-3117-9
https://doi.org/10.1007/s00220-018-3117-9
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2017, 167 (5), ⟨10.1007/s10955-017-1769-z⟩
Journal of Statistical Physics, Springer Verlag, 2017, 167 (5), ⟨10.1007/s10955-017-1769-z⟩
We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators. These systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d46e38863be436583e092e5ebe7cbc7f
https://doi.org/10.1007/s10955-017-1769-z
https://doi.org/10.1007/s10955-017-1769-z
Publikováno v:
Bachmann, S, Bols, A F J, De Roeck, W & Fraas, M 2021, ' Rational indices for quantum ground state sectors ', Journal of Mathematical Physics, vol. 62, no. 1, 011901 . https://doi.org/10.1063/5.0021511
We consider charge transport for interacting many-body systems with a gapped ground state subspace which is finitely degenerate and topologically ordered. To any locality-preserving, charge-conserving unitary that preserves the ground state space, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38c961cde9b6b189c0e55deb65d381d6
http://arxiv.org/abs/2001.06458
http://arxiv.org/abs/2001.06458
