Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem
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arXiv
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| Autori principali: | , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Schmidt, Christian F. Parra-López, Álvaro Tolosa-Simeón, Mireia Sparn, Marius Kath, Elinor Liebster, Nikolas Duchene, Jelte Strobel, Helmut Oberthaler, Markus K. Floerchinger, Stefan |
| author_facet | Schmidt, Christian F. Parra-López, Álvaro Tolosa-Simeón, Mireia Sparn, Marius Kath, Elinor Liebster, Nikolas Duchene, Jelte Strobel, Helmut Oberthaler, Markus K. Floerchinger, Stefan |
| contents | The production of quantum field excitations or particles in cosmological spacetimes is a hallmark prediction of curved quantum field theory. The generation of cosmological perturbations from quantum fluctuations in the early universe constitutes an important application. The problem can be quantum-simulated in terms of structure formation in an interacting Bose-Einstein condensate (BEC) with time-dependent s-wave scattering length. Here, we explore a mapping between cosmological particle production in general (D+1)-dimensional spacetimes and scattering problems described by the non-relativistic stationary Schrödinger equation in one dimension. Through this mapping, intuitive explanations for emergent spatial structures in both the BEC and the cosmological system can be obtained for a large class of analogue cosmological scenarios, ranging from power-law expansions to periodic modulations. The investigated cosmologies and their scattering analogues are tuned to be implemented in a (2+1)-dimensional quantum field simulator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem Schmidt, Christian F. Parra-López, Álvaro Tolosa-Simeón, Mireia Sparn, Marius Kath, Elinor Liebster, Nikolas Duchene, Jelte Strobel, Helmut Oberthaler, Markus K. Floerchinger, Stefan General Relativity and Quantum Cosmology Quantum Gases High Energy Physics - Theory The production of quantum field excitations or particles in cosmological spacetimes is a hallmark prediction of curved quantum field theory. The generation of cosmological perturbations from quantum fluctuations in the early universe constitutes an important application. The problem can be quantum-simulated in terms of structure formation in an interacting Bose-Einstein condensate (BEC) with time-dependent s-wave scattering length. Here, we explore a mapping between cosmological particle production in general (D+1)-dimensional spacetimes and scattering problems described by the non-relativistic stationary Schrödinger equation in one dimension. Through this mapping, intuitive explanations for emergent spatial structures in both the BEC and the cosmological system can be obtained for a large class of analogue cosmological scenarios, ranging from power-law expansions to periodic modulations. The investigated cosmologies and their scattering analogues are tuned to be implemented in a (2+1)-dimensional quantum field simulator. |
| title | Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem |
| topic | General Relativity and Quantum Cosmology Quantum Gases High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.08094 |