Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Roos, Barbara"'
We say of an isolated macroscopic quantum system in a pure state $\psi$ that it is in macroscopic thermal equilibrium if $\psi$ lies in or close to a suitable subspace $\mathcal{H}_{eq}$ of Hilbert space. It is known that every initial state $\psi_0$
Externí odkaz:
http://arxiv.org/abs/2408.15832
Autor:
Roos, Barbara
Since BCS theory of superconductivity is non-linear, it is difficult to study superconducting properties analytically. There is a more tractable linear criterion which determines a temperature $T_l$ below which the system is superconducting. Here, we
Externí odkaz:
http://arxiv.org/abs/2407.00796
Autor:
Roos, Barbara, Seiringer, Robert
We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-
Externí odkaz:
http://arxiv.org/abs/2308.07115
Autor:
Roos, Barbara, Seiringer, Robert
We study the BCS critical temperature on half-spaces in dimensions $d=1,2,3$ with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on $\mathbb{R}^d$, at least at weak coupling in
Externí odkaz:
http://arxiv.org/abs/2306.05824
Publikováno v:
Rev. Math. Phys. p. 2360005 (2023)
It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature $\Xi$ and the critical temperature $T_c$ is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interact
Externí odkaz:
http://arxiv.org/abs/2301.05621
Publikováno v:
PRX Quantum 3, 030343 (2022)
Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of
Externí odkaz:
http://arxiv.org/abs/2204.02899
Publikováno v:
J. Spectr. Theory 12, 1507-1540 (2022)
We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature
Externí odkaz:
http://arxiv.org/abs/2201.08090
Autor:
Roos, Barbara, Seiringer, Robert
Publikováno v:
Journal of Functional Analysis 282, Issue 12, 109455 (2022)
We study two interacting quantum particles forming a bound state in $d$-dimensional free space, and constrain the particles in $k$ directions to $(0,\infty)^k \times \mathbb{R}^{d-k}$, with Neumann boundary conditions. First, we prove that the ground
Externí odkaz:
http://arxiv.org/abs/2105.04874
Autor:
Roos, Barbara, Seiringer, Robert
Publikováno v:
In Journal of Functional Analysis 15 June 2022 282(12)
Publikováno v:
Reviews in Mathematical Physics; Oct2024, Vol. 36 Issue 9, p1-21, 21p