Zobrazeno 1 - 10
of 675
pro vyhledávání: '"82B10"'
Autor:
Moutuou, Elkaïoum M., Benali, Habib
A fundamental paradigm in neuroscience is that cognitive functions -- such as perception, learning, memory, and locomotion -- are shaped by the brain's structural organization. However, the theoretical principles explaining how this physical architec
Externí odkaz:
http://arxiv.org/abs/2408.14221
Autor:
Aizenman, Michael, Warzel, Simone
For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low complexity. Th
Externí odkaz:
http://arxiv.org/abs/2406.10194
Autor:
Moriya, Hajime, Narnhofer, Heide
Publikováno v:
Proc. Amer. Math. Soc. 152 (2024), 4479-4491
We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.
Comment: 13 pages with minor revisions
Comment: 13 pages with minor revisions
Externí odkaz:
http://arxiv.org/abs/2405.01001
Autor:
Manai, Chokri, Warzel, Simone
We establish three equivalent versions of a Parisi formula for the free energy of mean-field spin glasses in a transversal magnetic field. These results are derived from available results for classical vector spin glasses by an approximation method u
Externí odkaz:
http://arxiv.org/abs/2403.06155
Autor:
Passegger, Albert Georg, Verch, Rainer
For any local, translation-covariant quantum field theory on Minkowski spacetime, we prove that two distinct states that are invariant under the inertial time evolutions in different inertial reference frames are disjoint, i.e. neither state is a per
Externí odkaz:
http://arxiv.org/abs/2402.14794
We introduce a novel perspective on Newton's Law of Cooling by framing it within the context of information geometry. By characterizing it as a specific representation of a gradient flow, we establish a connection with the well-known Horse-Carrot The
Externí odkaz:
http://arxiv.org/abs/2402.14267
Publikováno v:
J. Math. Pures Appl. (2024)
We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstei
Externí odkaz:
http://arxiv.org/abs/2312.14357
Quantum Tunnelling and Thermally Driven Transitions in a Double Well Potential at Finite Temperature
Autor:
Christie, Robson, Eastman, Jessica
We explore dissipative quantum tunnelling, a phenomenon central to various physical and chemical processes, using a double-well potential model. This paper aims to bridge gaps in understanding the crossover from thermal activation to quantum tunnelli
Externí odkaz:
http://arxiv.org/abs/2312.12101
We consider the path-integral representation of the ideal Bose gas under various boundary conditions. We show that Bose--Einstein condensation occurs at the famous critical density threshold, by proving that its $1$-particle-reduced density matrix ex
Externí odkaz:
http://arxiv.org/abs/2312.07481
Autor:
Cárdenas, Esteban
The semi-classical limit of ground states of large systems of fermions was studied by Fournais, Lewin and Solovej in (Calc. Var. Partial Differ. Equ., 2018). In particular, the authors prove weak convergence towards classical states associated to the
Externí odkaz:
http://arxiv.org/abs/2312.03953