Spectral Gaps via Imaginary Time

التفاصيل البيبلوغرافية
العنوان: Spectral Gaps via Imaginary Time
المؤلفون: Leamer, Jacob M., Magann, Alicia B., Baczewski, Andrew D., McCaul, Gerard, Bondar, Denys I.
سنة النشر: 2023
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: The spectral gap occupies a role of central importance in many open problems in physics. We present an approach for evaluating the spectral gap of a Hamiltonian from a simple ratio of two expectation values, both of which are evaluated using a quantum state that is evolved in imaginary time. In principle, the only requirement is that the initial state is supported on both the ground and first excited states. We demonstrate this approach for the Fermi-Hubbard and transverse field Ising models through numerical simulation.
Comment: 6 pages, 1 figure, 1 table
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.02124
رقم الأكسشن: edsarx.2303.02124
قاعدة البيانات: arXiv