期刊
PHYSICAL REVIEW A
卷 105, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.105.042416
关键词
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资金
- European Research Council under the European Union [951541]
- U.S. Army Research Office [W911NF-20-1-0013]
- U.S.-Israel Binational Science Foundation [2016255]
- Israel Science Foundation [154/19]
- European Research Council (ERC) [951541] Funding Source: European Research Council (ERC)
In this paper, we investigate sufficient conditions for inseparability in mixed states with a globally conserved charge. We argue that separable states may still contain entanglement in fixed charge sectors. As a witness of symmetric inseparability, we examine the number entanglement (NE) and demonstrate its role as both a witness and an entanglement monotone. Furthermore, we study the scaling of Delta S-m in one-dimensional thermal systems using high-temperature expansion and conformal field theory.
We explore sufficient conditions for inseparability in mixed states with a globally conserved charge, such as a particle number. We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state cannot be separated into charge-conserving components. As a witness of symmetric inseparability we study the number entanglement (NE), Delta S-m, defined as the entropy change due to a subsystem's charge measurement. Whenever Delta S-m > 0, there exist inseparable charge sectors, having finite (logarithmic) negativity, even when the full state either is separable or has vanishing negativity. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone. Finally, we study the scaling of Delta S-m in thermal one-dimensional systems combining high-temperature expansion and conformal field theory.
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