Uncertainty relations for a q-deformed coherent spin state

2011 ◽  
Vol 376 (1) ◽  
pp. 14-18 ◽  
Author(s):  
M. Reboiro ◽  
O. Civitarese
Keyword(s):  
Spin State ◽  
Uncertainty Relations ◽  
Coherent Spin

Coherent spin state transfer from light to electrons in a semiconductor

2009 ◽  
Author(s):  
H. Kosaka ◽  
H. Shigyou ◽  
Y. Mitsumori ◽  
Y. Rikitake ◽  
H. Imamura ◽  
...  
Keyword(s):  
Spin State ◽  
State Transfer ◽  
Coherent Spin

scholarly journals Creation of Greenberger-Horne-Zeilinger states with thousands of atoms by entanglement amplification

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Yajuan Zhao ◽  
Rui Zhang ◽  
Wenlan Chen ◽  
Xiang-Bin Wang ◽  
Jiazhong Hu
Keyword(s):  
Hilbert Space ◽  
Spin State ◽  
Optical Cavity ◽  
Single Frequency ◽  
Entangled States ◽  
Quantum Metrology ◽  
Atom Number ◽  
Ghz States ◽  
High Finesse ◽  
Coherent Spin

AbstractWe propose an entanglement-creation scheme in a multi-atom ensemble trapped in an optical cavity, named entanglement amplification, converting unentangled states into entangled states and amplifying less-entangled ones to maximally entangled Greenberger-Horne-Zeilinger (GHZ) states whose fidelity is logarithmically dependent on the atom number and robust against common experimental noises. The scheme starts with a multi-atom ensemble initialized in a coherent spin state. By shifting the energy of a particular Dicke state, we break the Hilbert space of the ensemble into two isolated subspaces to tear the coherent spin state into two components so that entanglement is introduced. After that, we utilize the isolated subspaces to further enhance the entanglement by coherently separating the two components. By single-particle Rabi drivings on atoms in a high-finesse optical cavity illuminated by a single-frequency light, 2000-atom GHZ states can be created with a fidelity above 80% in an experimentally achievable system, making resources of ensembles at Heisenberg limit practically available for quantum metrology.

scholarly journals Coherent spin-state transfer via Heisenberg exchange

Nature ◽  
2019 ◽  
Vol 573 (7775) ◽  
pp. 553-557 ◽  
Author(s):  
Yadav P. Kandel ◽  
Haifeng Qiao ◽  
Saeed Fallahi ◽  
Geoffrey C. Gardner ◽  
Michael J. Manfra ◽  
...  
Keyword(s):  
Spin State ◽  
Heisenberg Exchange ◽  
State Transfer ◽  
Coherent Spin

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

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