Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Matthias Gerster"'
Publikováno v:
SciPost Physics Lecture Notes, p 8 (2019)
We present a compendium of numerical simulation techniques, based on tensor network methods, aiming to address problems of many-body quantum mechanics on a classical computer. The core setting of this anthology are lattice problems in low spatial dim
Externí odkaz:
https://doaj.org/article/0717628fd7f04a9ca79579b78aa48c4b
Autor:
Iacopo Carusotto, Matteo Rizzi, R. O. Umucalılar, Matthias Gerster, Simone Montangero, E. Macaluso, Tommaso Comparin
Publikováno v:
Phys.Rev.Res.
Phys.Rev.Res., 2020, 2 (1), pp.013145. ⟨10.1103/PhysRevResearch.2.013145⟩
Physical Review Research
Physical review research 2(1), 013145 (2020). doi:10.1103/PhysRevResearch.2.013145
Phys.Rev.Res., 2020, 2 (1), pp.013145. ⟨10.1103/PhysRevResearch.2.013145⟩
Physical Review Research
Physical review research 2(1), 013145 (2020). doi:10.1103/PhysRevResearch.2.013145
We numerically investigate the properties of the quasihole excitations above the bosonic fractional Chern insulator state at filling $\nu = 1/2$, in the specific case of the Harper-Hofstadter Hamiltonian with hard-core interactions. For this purpose
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe868609a04f3f4d96759823a96c25c2
https://hal.archives-ouvertes.fr/hal-02497855
https://hal.archives-ouvertes.fr/hal-02497855
Autor:
Giuseppe E. Santoro, Matthias Gerster, Maximilian Keck, Simone Montangero, Lucas Kohn, Rosario Fazio, Pietro Silvi
Publikováno v:
Physical review, A Print 101 (2020): 023617. doi:10.1103/PhysRevA.101.023617
info:cnr-pdr/source/autori:Kohn, L.; Silvi, P.; Gerster, M.; Keck, M.; Fazio, R.; Santoro, G. E.; Montangero, S./titolo:Superfluid-to-Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation/doi:10.1103%2FPhysRevA.101.023617/rivista:Physical review, A Print/anno:2020/pagina_da:023617/pagina_a:/intervallo_pagine:023617/volume:101
Physical Review A
info:cnr-pdr/source/autori:Kohn, L.; Silvi, P.; Gerster, M.; Keck, M.; Fazio, R.; Santoro, G. E.; Montangero, S./titolo:Superfluid-to-Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation/doi:10.1103%2FPhysRevA.101.023617/rivista:Physical review, A Print/anno:2020/pagina_da:023617/pagina_a:/intervallo_pagine:023617/volume:101
Physical Review A
We revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Dependent Variational Principle and a Tree-Tensor Network, we characterize t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6980ea1854533d9b407f230b0bdd6fd7
http://arxiv.org/abs/1907.00009
http://arxiv.org/abs/1907.00009
Autor:
Pietro Silvi, Johannes Jünemann, Simone Montangero, Daniel Jaschke, Matthias Gerster, Matteo Rizzi, Ferdinand Tschirsich
Publikováno v:
SciPost Physics Lecture Notes, p 8 (2019)
We present a compendium of numerical simulation techniques, based on tensor network methods, aiming to address problems of many-body quantum mechanics on a classical computer. The core setting of this anthology are lattice problems in low spatial dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3461fd42cb80b09b4471c9d314ac1e96
https://scipost.org/SciPostPhysLectNotes.8
https://scipost.org/SciPostPhysLectNotes.8
We use tensor network methods - Matrix Product States, Tree Tensor Networks, and Locally Purified Tensor Networks - to simulate the one dimensional Bose-Hubbard model for zero and finite temperatures in experimentally accessible regimes. We first exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2bd71a2ebe37577278db76e8cc99000
http://arxiv.org/abs/1808.04649
http://arxiv.org/abs/1808.04649
Autor:
Ferdinand Tschirsich, Simone Montangero, Pietro Silvi, Matthias Gerster, Benedikt Haggenmiller
We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a quantum $\phi^4$-model on a 1D lattice [Phys. Rev. Lett.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b0f010e7ae229d586e792a3c35aa04b
Publikováno v:
Physical Review B
We show via tensor network methods that the Harper-Hofstadter Hamiltonian for hard-core bosons on a square geometry supports a topological phase realizing the $\nu=1/2$ fractional quantum Hall effect on the lattice. We address the robustness of the g
Autor:
Pietro Silvi, Ferdinand Tschirsich, Rosario Fazio, Matteo Rizzi, Simone Montangero, Matthias Gerster
Publikováno v:
New Journal of Physics
New journal of physics 18 (2016). doi:10.1088/1367-2630/18/1/015015
info:cnr-pdr/source/autori:M. Gerster, M. Rizzi, F. Tschirsich, P. Silvi, R. Fazio, and S. Montangero/titolo:Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model/doi:10.1088%2F1367-2630%2F18%2F1%2F015015/rivista:New journal of physics/anno:2016/pagina_da:/pagina_a:/intervallo_pagine:/volume:18
New journal of physics 18 (2016). doi:10.1088/1367-2630/18/1/015015
info:cnr-pdr/source/autori:M. Gerster, M. Rizzi, F. Tschirsich, P. Silvi, R. Fazio, and S. Montangero/titolo:Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model/doi:10.1088%2F1367-2630%2F18%2F1%2F015015/rivista:New journal of physics/anno:2016/pagina_da:/pagina_a:/intervallo_pagine:/volume:18
We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9a329e1330978cba26119cabe102c1a
https://hdl.handle.net/11384/66822
https://hdl.handle.net/11384/66822
Autor:
Rosario Fazio, Tommaso Calarco, Matteo Rizzi, Pietro Silvi, Simone Montangero, Matthias Gerster
Publikováno v:
Physical review. B, Condensed matter and materials physics 90 (2014). doi:10.1103/PhysRevB.90.125154
info:cnr-pdr/source/autori:Gerster, M.[ 1 ] ; Silvi, P.[ 1 ] ; Rizzi, M.[ 2 ] ; Fazio, R.[ 3,4,5 ] ; Calarco, T.[ 1 ] ; Montangero, S.[ 1 ]/titolo:Unconstrained tree tensor network: An adaptive gauge picture for enhanced performance/doi:10.1103%2FPhysRevB.90.125154/rivista:Physical review. B, Condensed matter and materials physics/anno:2014/pagina_da:/pagina_a:/intervallo_pagine:/volume:90
info:cnr-pdr/source/autori:Gerster, M.[ 1 ] ; Silvi, P.[ 1 ] ; Rizzi, M.[ 2 ] ; Fazio, R.[ 3,4,5 ] ; Calarco, T.[ 1 ] ; Montangero, S.[ 1 ]/titolo:Unconstrained tree tensor network: An adaptive gauge picture for enhanced performance/doi:10.1103%2FPhysRevB.90.125154/rivista:Physical review. B, Condensed matter and materials physics/anno:2014/pagina_da:/pagina_a:/intervallo_pagine:/volume:90
We introduce a variational algorithm to simulate quantum many-body states based on a tree tensor network ansatz which releases the isometry constraint usually imposed by the real-space renormalization coarse-graining: This additional numerical freedo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c75c110054ff2a6a427b80548c49d77
http://hdl.handle.net/11577/3259294
http://hdl.handle.net/11577/3259294