1ڈیپارٹمنٹ آف فزکس اینڈ میٹریل سائنس، یونیورسٹی آف لکسمبرگ، L-1511 لکسمبرگ، جی ڈی لکسمبرگ
2Fysikum, Stockholms Universitet, 106 91 Stockholm, Sweden
3Donostia International Physics Center, E-20018 San Sebastián, Spain
اس کاغذ کو دلچسپ لگتا ہے یا اس پر بات کرنا چاہتے ہیں؟ SciRate پر تبصرہ کریں یا چھوڑیں۔.
خلاصہ
Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for unitary operator flows, which are ubiquitous in physics and relevant for applications in both the quantum and classical domains. We derive two types of QSLs and assess the existence of a crossover between them, that we illustrate with a qubit and a random matrix Hamiltonian, as canonical examples. We further apply our results to the time evolution of autocorrelation functions, obtaining computable constraints on the linear dynamical response of quantum systems out of equilibrium and the quantum Fisher information governing the precision in quantum parameter estimation.
مقبول خلاصہ
In this work we introduce a new class of QSL formulated for unitary operator flows. We generalize the celebrated Mandelstam-Tamm and Margolus-Levitin speed limits to operator flows, demonstrate their validity in simple and complex systems and illustrate their relevance to bound response functions in condensed matter physics. We expect our findings to find further applications including the dynamics of integrable systems, renormalization group and quantum complexity, among other examples.
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کی طرف سے حوالہ دیا گیا
[1] Mir Afrasiar, Jaydeep Kumar Basak, Bidyut Dey, Kunal Pal, and Kuntal Pal, “Time evolution of spread complexity in quenched Lipkin-Meshkov-Glick model”, آر ایکس سی: 2208.10520.
[2] Farha Yasmin and Jan Sperling, “Entanglement-assisted quantum speedup: Beating local quantum speed limits”, آر ایکس سی: 2211.14898.
مذکورہ بالا اقتباسات سے ہیں۔ SAO/NASA ADS (آخری بار کامیابی کے ساتھ 2022-12-23 04:22:47)۔ فہرست نامکمل ہو سکتی ہے کیونکہ تمام ناشرین مناسب اور مکمل حوالہ ڈیٹا فراہم نہیں کرتے ہیں۔
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- ماخذ: https://quantum-journal.org/papers/q-2022-12-22-884/
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