Experimental verification of the area law of mutual information in a quantum field simulator
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , , , , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912838691323904 |
|---|---|
| author | Tajik, Mohammadamin Kukuljan, Ivan Sotiriadis, Spyros Rauer, Bernhard Schweigler, Thomas Cataldini, Federica Sabino, João Møller, Frederik Schüttelkopf, Philipp Ji, Si-Cong Sels, Dries Demler, Eugene Schmiedmayer, Jörg |
| author_facet | Tajik, Mohammadamin Kukuljan, Ivan Sotiriadis, Spyros Rauer, Bernhard Schweigler, Thomas Cataldini, Federica Sabino, João Møller, Frederik Schüttelkopf, Philipp Ji, Si-Cong Sels, Dries Demler, Eugene Schmiedmayer, Jörg |
| contents | Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Measuring von Neumann entropy in quantum many-body systems is challenging as it requires complete knowledge of the density matrix. In this work, we measure the von Neumann entropy of spatially extended subsystems in an ultra-cold atom simulator of one-dimensional quantum field theories. We experimentally verify one of the fundamental properties of equilibrium states of gapped quantum many-body systems, the area law of quantum mutual information. We also study the dependence of mutual information on temperature and the separation between the subsystems. Our work is a crucial step toward employing ultra-cold atom simulators to probe entanglement in quantum field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_10563 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Experimental verification of the area law of mutual information in a quantum field simulator Tajik, Mohammadamin Kukuljan, Ivan Sotiriadis, Spyros Rauer, Bernhard Schweigler, Thomas Cataldini, Federica Sabino, João Møller, Frederik Schüttelkopf, Philipp Ji, Si-Cong Sels, Dries Demler, Eugene Schmiedmayer, Jörg Quantum Gases Statistical Mechanics Quantum Physics Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Measuring von Neumann entropy in quantum many-body systems is challenging as it requires complete knowledge of the density matrix. In this work, we measure the von Neumann entropy of spatially extended subsystems in an ultra-cold atom simulator of one-dimensional quantum field theories. We experimentally verify one of the fundamental properties of equilibrium states of gapped quantum many-body systems, the area law of quantum mutual information. We also study the dependence of mutual information on temperature and the separation between the subsystems. Our work is a crucial step toward employing ultra-cold atom simulators to probe entanglement in quantum field theories. |
| title | Experimental verification of the area law of mutual information in a quantum field simulator |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2206.10563 |