Phase-space localization at the lowest Landau level

Ben Craps; Oleg Evnin; Maxim Pavlov

doi:10.1103/PhysRevA.110.063325

Phase-space localization at the lowest Landau level

Research output: Contribution to journal › Article › peer-review

Abstract

We consider bosons with weak contact interactions in a harmonic trap and focus on states at the lowest Landau level. Motivated by the known nontrivial phase-space topography of the energy functional of the corresponding Gross-Pitaevskii equation, we explore Husimi distributions of quantum energy eigenstates in the classical phase space of the Schrödinger field. With interactions turned off, the energy levels are highly degenerate and the Husimi distributions do not manifest any particular localization properties. With interactions turned on, the degeneracy is lifted, and a selection of energy levels emerges whose Husimi distributions are localized around low-dimensional surfaces in the phase space.

Original language	English
Article number	063325
Number of pages <span style="color:red"p> <font size="1.5"> ✽ </span> </font>	10
Journal	Physical Review A
Volume	110
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.110.063325
Publication status	Published - 27 Dec 2024

Bibliographical note

Funding Information:
This work has been supported by Research Foundation Flanders (FWO) through Project No. G012222N and by Vrije Universiteit Brussel through the Strategic Research Program High-Energy Physics. The work of M.D.C. is partially supported by STFC consolidated Grants No. ST/T000694/1 and No. ST/X000664/1 and by Simons Investigator Award No. 620869. O.E. is supported by Thailand NSRF via PMU-B (Grant No. B13F670063). M.P. is supported by FWO Doctoral Fellowship No. 1178725N. The computational resources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by Research Foundation Flanders (FWO) and the Flemish Government. In the numerics, we used integer partition generator .

Publisher Copyright:
© 2024 American Physical Society.

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10.1103/PhysRevA.110.063325

2407.07675v2Accepted author manuscript, 702 KBLicence: Unspecified

Cite this

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title = "Phase-space localization at the lowest Landau level",

abstract = "We consider bosons with weak contact interactions in a harmonic trap and focus on states at the lowest Landau level. Motivated by the known nontrivial phase-space topography of the energy functional of the corresponding Gross-Pitaevskii equation, we explore Husimi distributions of quantum energy eigenstates in the classical phase space of the Schr{\"o}dinger field. With interactions turned off, the energy levels are highly degenerate and the Husimi distributions do not manifest any particular localization properties. With interactions turned on, the degeneracy is lifted, and a selection of energy levels emerges whose Husimi distributions are localized around low-dimensional surfaces in the phase space.",

author = "Ben Craps and Oleg Evnin and Maxim Pavlov",

note = "Funding Information: This work has been supported by Research Foundation Flanders (FWO) through Project No. G012222N and by Vrije Universiteit Brussel through the Strategic Research Program High-Energy Physics. The work of M.D.C. is partially supported by STFC consolidated Grants No. ST/T000694/1 and No. ST/X000664/1 and by Simons Investigator Award No. 620869. O.E. is supported by Thailand NSRF via PMU-B (Grant No. B13F670063). M.P. is supported by FWO Doctoral Fellowship No. 1178725N. The computational resources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by Research Foundation Flanders (FWO) and the Flemish Government. In the numerics, we used integer partition generator . Publisher Copyright: {\textcopyright} 2024 American Physical Society.",

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Phase-space localization at the lowest Landau level

Abstract

Bibliographical note

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SRP72: SRP-Onderzoekszwaartepunt: High-energy physics (HEP@VUB).

FWOAL1051: Quantum complexity, quantum entanglement and the emergence of spacetime

SRP8: Strategic Research Programme: High-Energy Physics at the VUB

Cite this

Phase-space localization at the lowest Landau level

Abstract

Bibliographical note

Access to Document

Other files and links

Projects

SRP72: SRP-Onderzoekszwaartepunt: High-energy physics (HEP@VUB).

FWOAL1051: Quantum complexity, quantum entanglement and the emergence of spacetime

SRP8: Strategic Research Programme: High-Energy Physics at the VUB

Cite this