Linearized regime of the generalized hydrodynamics with diffusion
We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two p...
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| Format: | Article |
| Language: | English |
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SciPost
2019-11-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.1.1.002 |
| _version_ | 1819198850968059904 |
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| author | Miłosz Panfil, Jacek Pawełczyk |
| author_facet | Miłosz Panfil, Jacek Pawełczyk |
| author_sort | Miłosz Panfil, Jacek Pawełczyk |
| collection | DOAJ |
| description | We consider the generalized hydrodynamics including the recently introduced
diffusion term for an initially inhomogeneous state in the Lieb-Liniger model.
We construct a general solution to the linearized hydrodynamics equation in
terms of the eigenstates of the evolution operator and study two prototypical
classes of initial states: delocalized and localized spatially. We exhibit some
general features of the resulting dynamics, among them, we highlight the
difference between the ballistic and diffusive evolution. The first one governs
a spatial scrambling, the second, a scrambling of the quasi-particles content.
We also go one step beyond the linear regime and discuss the evolution of the
zero momentum mode that does not evolve in the linear regime. |
| first_indexed | 2024-12-23T03:07:00Z |
| format | Article |
| id | doaj.art-0a0e73d7a71840ab84484839f9ab5591 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-12-23T03:07:00Z |
| publishDate | 2019-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-0a0e73d7a71840ab84484839f9ab55912022-12-21T18:02:18ZengSciPostSciPost Physics Core2666-93662019-11-011100210.21468/SciPostPhysCore.1.1.002Linearized regime of the generalized hydrodynamics with diffusionMiłosz Panfil, Jacek PawełczykWe consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two prototypical classes of initial states: delocalized and localized spatially. We exhibit some general features of the resulting dynamics, among them, we highlight the difference between the ballistic and diffusive evolution. The first one governs a spatial scrambling, the second, a scrambling of the quasi-particles content. We also go one step beyond the linear regime and discuss the evolution of the zero momentum mode that does not evolve in the linear regime.https://scipost.org/SciPostPhysCore.1.1.002 |
| spellingShingle | Miłosz Panfil, Jacek Pawełczyk Linearized regime of the generalized hydrodynamics with diffusion SciPost Physics Core |
| title | Linearized regime of the generalized hydrodynamics with diffusion |
| title_full | Linearized regime of the generalized hydrodynamics with diffusion |
| title_fullStr | Linearized regime of the generalized hydrodynamics with diffusion |
| title_full_unstemmed | Linearized regime of the generalized hydrodynamics with diffusion |
| title_short | Linearized regime of the generalized hydrodynamics with diffusion |
| title_sort | linearized regime of the generalized hydrodynamics with diffusion |
| url | https://scipost.org/SciPostPhysCore.1.1.002 |
| work_keys_str_mv | AT miłoszpanfiljacekpawełczyk linearizedregimeofthegeneralizedhydrodynamicswithdiffusion |