Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866910353617584128 |
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| author | Werner, Miklós Antal Moca, Cătălin Paşcu Kormos, Márton Legeza, Örs Dóra, Balázs Zaránd, Gergely |
| author_facet | Werner, Miklós Antal Moca, Cătălin Paşcu Kormos, Márton Legeza, Örs Dóra, Balázs Zaránd, Gergely |
| contents | Particle formation represents a central theme in various branches of physics, often associated to confinement. Here we show that dynamical hadron formation can be spectroscopically detected in an ultracold atomic setting within the most paradigmatic and simplest model of condensed matter physics, the repulsive $\textrm{SU}(N)$ Hubbard model. By starting from an appropriately engineered initial state of the ${{\textrm{SU}(3)}}$ Hubbard model, not only mesons (doublons) but also baryons (trions) are naturally generated during the time evolution. In the strongly interacting limit, baryons become heavy and attract each other strongly, and their residual interaction with mesons generates meson diffusion, as captured by the evolution of the equal time density correlation function. Hadrons remain present in the long time limit, while the system thermalizes to a negative temperature state. Our conclusions extend to a large variety of initial conditions, all spatial dimensions, and for SU($N>2$) Hubbard models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_00994 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models Werner, Miklós Antal Moca, Cătălin Paşcu Kormos, Márton Legeza, Örs Dóra, Balázs Zaránd, Gergely Statistical Mechanics Quantum Gases Strongly Correlated Electrons Particle formation represents a central theme in various branches of physics, often associated to confinement. Here we show that dynamical hadron formation can be spectroscopically detected in an ultracold atomic setting within the most paradigmatic and simplest model of condensed matter physics, the repulsive $\textrm{SU}(N)$ Hubbard model. By starting from an appropriately engineered initial state of the ${{\textrm{SU}(3)}}$ Hubbard model, not only mesons (doublons) but also baryons (trions) are naturally generated during the time evolution. In the strongly interacting limit, baryons become heavy and attract each other strongly, and their residual interaction with mesons generates meson diffusion, as captured by the evolution of the equal time density correlation function. Hadrons remain present in the long time limit, while the system thermalizes to a negative temperature state. Our conclusions extend to a large variety of initial conditions, all spatial dimensions, and for SU($N>2$) Hubbard models. |
| title | Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\textrm{SU}(N)$ Hubbard Models |
| topic | Statistical Mechanics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2207.00994 |