Zobrazeno 1 - 10
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pro vyhledávání: '"many-body quantum dynamics"'
The lecture notes on "Many-body Quantum Dynamics with MCTDH-X," adapted from the 2023 Heidelberg MCTDH Summer School, provide an in-depth exploration of the Multiconfigurational Time-Dependent Hartree approach for indistinguishable particles. They se
Externí odkaz:
http://arxiv.org/abs/2407.20317
Publikováno v:
Physical Review B 109, 214505 (2024)
We provide a theoretical framework to describe the quantum many-body dynamics of Andreev states in Josephson junctions with spin-orbit coupling and a magnetic Zeeman field. In such cases, employing a doubled Nambu spinor description is technically ad
Externí odkaz:
http://arxiv.org/abs/2404.05485
Akademický článek
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Autor:
Artiaco, Claudia, Fleckenstein, Christoph, Chávez, David Aceituno, Kvorning, Thomas Klein, Bardarson, Jens H.
Publikováno v:
PRX Quantum 5, 020352 (2024)
During time evolution of many-body systems entanglement grows rapidly, limiting exact simulations to small-scale systems or small timescales. Quantum information tends however to flow towards larger scales without returning to local scales, such that
Externí odkaz:
http://arxiv.org/abs/2310.06036
Publikováno v:
Rep. Prog. Phys. 86, 116001 (2023)
We review the mathematical speed limits on quantum information processing in many-body systems. After the proof of the Lieb-Robinson Theorem in 1972, the past two decades have seen substantial developments in its application to other questions, such
Externí odkaz:
http://arxiv.org/abs/2303.07386
Publikováno v:
J. Phys. A: Math. Theor. 57 335301 (2024)
Dual-unitary brickwork circuits are an exactly-solvable model for many-body chaotic quantum systems, based on 2-site gates which are unitary in both the time and space directions. Prosen has recently described an alternative model called 'dual-unitar
Externí odkaz:
http://arxiv.org/abs/2302.07280
Akademický článek
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Publikováno v:
J. Eur. Math. Soc. 26, 4923-5007 (2024)
We obtain the combined mean-field and semiclassical limit from the $N$-body Schr\"{o}dinger equation for fermions interacting via singular potentials. To obtain the result, we first prove the uniformity in Planck's constant $h$ propagation of regular
Externí odkaz:
http://arxiv.org/abs/2103.10946
Autor:
Chong, Jacky J.1,2 jwchong@math.pku.edu.cn, Lafleche, Laurent1,3 laurent.lafleche@ens-lyon.fr, Saffirio, Chiara4 chiara.saffirio@unibas.ch
Publikováno v:
Journal of the European Mathematical Society (EMS Publishing). 2024, Vol. 26 Issue 12, p4923-5007. 85p.
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates, that are consistent with central limit theorems that
Externí odkaz:
http://arxiv.org/abs/2010.13754