Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method
We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC. Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. The tHNC method scales well with the number o...
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2025-04-01
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| Series: | SciPost Physics |
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| author | Mathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. Zillich |
| author_facet | Mathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. Zillich |
| author_sort | Mathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. Zillich |
| collection | DOAJ |
| description | We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC. Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. The tHNC method scales well with the number of dimensions, as demonstrated by our results on one-, two-, and three-dimensional systems. We apply the tHNC method to interaction quenches, i.e. sudden changes of the interaction strength, in homogeneous Bose gases. When the quench is strong enough that the final state has roton excitations (as found and predicted for dipolar and Rydberg-dressed Bose-Einstein condensates, respectively), the pair distribution function exhibits stable oscillations. For validation, we compare tHNC results with time-dependent variational Monte Carlo results in one and two dimensions. |
| format | Article |
| id | doaj-art-a91bcd904a9247fab86e347708a500be |
| institution | DOAJ |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-a91bcd904a9247fab86e347708a500be2025-08-20T03:17:32ZengSciPostSciPost Physics2542-46532025-04-0118412310.21468/SciPostPhys.18.4.123Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange methodMathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. ZillichWe present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC. Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. The tHNC method scales well with the number of dimensions, as demonstrated by our results on one-, two-, and three-dimensional systems. We apply the tHNC method to interaction quenches, i.e. sudden changes of the interaction strength, in homogeneous Bose gases. When the quench is strong enough that the final state has roton excitations (as found and predicted for dipolar and Rydberg-dressed Bose-Einstein condensates, respectively), the pair distribution function exhibits stable oscillations. For validation, we compare tHNC results with time-dependent variational Monte Carlo results in one and two dimensions.https://scipost.org/SciPostPhys.18.4.123 |
| spellingShingle | Mathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. Zillich Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method SciPost Physics |
| title | Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method |
| title_full | Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method |
| title_fullStr | Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method |
| title_full_unstemmed | Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method |
| title_short | Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method |
| title_sort | interaction quenches in bose gases studied with a time dependent hypernetted chain euler lagrange method |
| url | https://scipost.org/SciPostPhys.18.4.123 |
| work_keys_str_mv | AT mathiasgartnerdavidmiesbauermichaelkoblerjuliafreundgiuseppecarleorobertezillich interactionquenchesinbosegasesstudiedwithatimedependenthypernettedchaineulerlagrangemethod |