Bosonic continuum theory of one-dimensional lattice anyons
| Autor: | Martin Bonkhoff, Thore Posske, Kevin Jägering, Sebastian Eggert, Michael Thorwart, Axel Pelster |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Continuum (measurement) Strongly Correlated Electrons (cond-mat.str-el) General Physics and Astronomy FOS: Physical sciences Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Topological quantum computer Condensed Matter - Strongly Correlated Electrons Theoretical physics High Energy Physics::Theory Quantum Gases (cond-mat.quant-gas) Lattice (order) Regularization (physics) 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Quasiparticle Condensed Matter - Quantum Gases 010306 general physics Quantum Physics (quant-ph) Continuum hypothesis Luttinger parameter Boson |
| DOI: | 10.48550/arxiv.2008.00003 |
| Popis: | Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons via interacting bosons. The theory maintains the exchange phase periodicity fully analogous to 2D anyons. This provides a mapping between experiments, lattice anyons, and continuum theories, including Kundu anyons with a natural regularization as a special case. We numerically estimate the Luttinger parameter as a function of the exchange angle to characterize long-range signatures of the theory and predict different velocities for left- and right-moving collective excitations. Comment: 9 pages, 1 figure. Published version. For more information and the latest version go to https://www.physik.uni-kl.de/eggert/papers/index.html |
| Databáze: | OpenAIRE |
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