Symmetric inseparability and number entanglement in charge conserving mixed states

التفاصيل البيبلوغرافية
العنوان: Symmetric inseparability and number entanglement in charge conserving mixed states
المؤلفون: Ma, Zhanyu, Han, Cheolhee, Meir, Yigal, Sela, Eran
المصدر: PRA 105, 042416 (2022)
سنة النشر: 2021
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Quantum Gases
الوصف: 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 can not 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 is either 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 1D systems combining high temperature expansion and conformal field theory.
Comment: The title was changed, journal reference added
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.105.042416
URL الوصول: http://arxiv.org/abs/2110.09388
رقم الانضمام: edsarx.2110.09388
قاعدة البيانات: arXiv
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