Measurable entanglement criterion for extended Bose-Hubbard model

• URL: http://arxiv.org/abs/2402.05477v2
• Date: Fri, 16 Aug 2024 16:36:05 GMT
• Title: Measurable entanglement criterion for extended Bose-Hubbard model
• Authors: Mehmet Emre Tasgin, Hyunchul Nha,
• Abstract summary: Cold atoms in optical lattice represent a quantum system of fundamental importance. We present an entanglement criterion characterizing collective entanglement among lattice sites. Our criterion witnesses phase transitions such as Mott insulator--superfluid and Mott insulator--charge density wave transitions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Cold atoms in optical lattice represent a quantum system of fundamental importance as they enable the study of many-body physics in a controllable way. It is thus essential to develop theoretical and experimental tools to explore quantum correlation in such systems to advance our understanding of many-body interactions. While previous works have identified some profound aspects of quantum entanglement via e.g. entanglement entropy, there exists a critical demand to have an experimentally accessible tool to investigate many-body quantum entanglement in a broad context. We present an entanglement criterion characterizing collective entanglement among lattice sites and enabling experimental observation readily. Our criterion witnesses phase transitions such as Mott insulator--superfluid and Mott insulator--charge density wave transitions in a measurable way and can be experimentally tested via Raman scattering or time-of-flight expansion approach thus within the reach of current technology.

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