Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Spiegel, Daniel"'
Autor:
Spiegel, Daniel D., Pflaum, Markus J.
We prove that the space $\mathscr{P}(\mathfrak{A})$ of pure states of a nonelementary, simple, separable, real rank zero $C^*$-algebra $\mathfrak{A}$ has trivial homotopy groups of all orders when $\mathscr{P}(\mathfrak{A})$ is equipped with the weak
Externí odkaz:
http://arxiv.org/abs/2402.03605
Autor:
Spiegel, Daniel D.
This thesis investigates parametrized quantum spin systems in the thermodynamic limit from a $C^*$-algebraic point of view. Our main physical result is the construction of a phase invariant for one-dimensional quantum spin chains parametrized by a to
Externí odkaz:
http://arxiv.org/abs/2305.07951
Autor:
Qi, Marvin, Stephen, David T., Wen, Xueda, Spiegel, Daniel, Pflaum, Markus J., Beaudry, Agnès, Hermele, Michael
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states in one spatial dimension, where each state can be represented as an in
Externí odkaz:
http://arxiv.org/abs/2305.07700
Publikováno v:
Reviews in Mathematical Physics, (2024) 2460003 (87 pages)
In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, using the framework of algebraic quantum mechanics. We define the notion of quantum state types
Externí odkaz:
http://arxiv.org/abs/2303.07431
Autor:
Spiegel, Daniel, Moreno, Juan, Qi, Marvin, Hermele, Michael, Beaudry, Agnès, Pflaum, Markus J.
Publikováno v:
Reviews in Mathematical Physics Vol. 33 (2022) 2250031 (84 pages)
We consider how the outputs of the Kadison transitivity theorem and Gelfand-Naimark-Segal construction may be obtained in families when the initial data are varied. More precisely, for the Kadison transitivity theorem, we prove that for any nonzero i
Externí odkaz:
http://arxiv.org/abs/2112.13315
Autor:
Wen, Xueda, Qi, Marvin, Beaudry, Agnès, Moreno, Juan, Pflaum, Markus J., Spiegel, Daniel, Vishwanath, Ashvin, Hermele, Michael
Publikováno v:
Phys. Rev. B 108, 125147 (2023)
This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter. In such systems, rather than considering a single Hamiltonian, one consid
Externí odkaz:
http://arxiv.org/abs/2112.07748
Autor:
Spiegel, Daniel D.
This expository note presents a constructive proof of Wigner's theorem using only a few basic facts about Hilbert spaces, such as the existence of orthonormal bases and the Fourier decomposition of a vector. Our proof is based on a proof by Steven We
Externí odkaz:
http://arxiv.org/abs/1810.10111
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Publikováno v:
Phys. Rev. D 95, 095021 (2017)
We study the constraints on neutralino dark matter in minimal low energy supersymmetry models and the case of heavy lepton and quark scalar superpartners. For values of the Higgsino and gaugino mass parameters of the order of the weak scale, direct d
Externí odkaz:
http://arxiv.org/abs/1701.02737
Akademický článek
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