π -Corrected Heisenberg Limit
نویسندگان
چکیده
منابع مشابه
Alternating Linear Heisenberg Antiferromagnet: The Exciton Limit
The one-dimensional alternating antiferromagnet with H=2JΣnS⃗ 2n⋅S⃗2n−1+2J′ΣnS⃗2n⋅S⃗2n+1 is studied for J′≪J. For β−1≡kBT≪J the susceptibility is expanded in powers of the exciton density as χT∝ A (βJ′, J′/J)e−2βJ + B(βJ′,J′/J)e−4βJ+⋯ and the coefficients A and B are calculated for J′/J→0. The calculation of B(βJ′,0) required the evaluation of the two-exciton scattering matrix. The interactions bet...
متن کاملQuantum Kalman filtering and the Heisenberg limit in atomic magnetometry.
The shot-noise detection limit in current high-precision magnetometry [Nature (London) 422, 596 (2003)] is a manifestation of quantum fluctuations that scale as 1/sqrt[N] in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [Rep. Math. Phys. 43, 405 (1999)]] to surpass this conventional limit by exploiting conditional spin squ...
متن کاملThe elusive Heisenberg limit in quantum-enhanced metrology
Quantum precision enhancement is of fundamental importance for the development of advanced metrological optical experiments, such as gravitational wave detection and frequency calibration with atomic clocks. Precision in these experiments is strongly limited by the 1/√N shot noise factor with N being the number of probes (photons, atoms) employed in the experiment. Quantum theory provides tools...
متن کاملA Central Limit Theorem on Heisenberg Type Groups
Heisenberg type groups are a class of 2-step nilpotent Lie groups which have many similarities with Heisenberg groups. In this paper we consider a commutative Banach algebra of radial, bounded, Borel measures on such groups and prove a central limit theorem for measures in this algebra satisfying suitable growth conditions. 0. Introduction One of the main themes in the area of nilpotent Lie gro...
متن کاملInteracting Atomic Interferometry for Rotation Sensing Approaching the Heisenberg Limit.
Atom interferometers provide exquisite measurements of the properties of noninertial frames. While atomic interactions are typically detrimental to good sensing, efforts to harness entanglement to improve sensitivity remain tantalizing. Here we explore the role of interactions in an analogy between atomic gyroscopes and SQUIDs, motivated by recent experiments realizing ring-shaped traps for ult...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2020
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.124.030501