Corrections to the expected signal in quantum metrology using highly anisotropic Bose-Einstein condensates

We scrutinize the role of quantum entanglement in quantum metrology and discuss recent advances in nonlinear quantum metrology that allow improved scalings of the measurement precision with respect to the available resources. Such schemes can surpass the conventional Heisenberg limited scaling of 1/N of quantum enhanced metrology. Without investing in the preparation of entangled states, we review how systems with intrinsic nonlinearities such as Bose–Einstein condensates and light-matter interfaces can provide improved scaling in single parameter estimation.

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Applications of Bose-Einstein condensate soliton states to quantum metrology and nanotechnology

2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665) ◽

10.1109/eqec.2003.1314164 ◽

2003 ◽

Cited By ~ 1

Author(s):

N.N. Rosanov ◽

Yu.V. Rozhdestvensky ◽

V.A. Smirnov ◽

S.V. Federov

Keyword(s):

Einstein Condensate ◽

Quantum Metrology ◽

Bose Einstein Condensate ◽

Bose Einstein

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Bose-Einstein Condensate Soliton Qubit States for Metrological Applications

10.21203/rs.3.rs-499444/v1 ◽

2021 ◽

Author(s):

The Vinh Ngo ◽

Dmitriy Tsarev ◽

Ray-Kuang Lee ◽

Alexander Alodjants

Keyword(s):

Frequency Standard ◽

Einstein Condensate ◽

Quantum Metrology ◽

Current Frequency ◽

State Discrimination ◽

Bose Einstein Condensate ◽

Orthogonal State ◽

Macroscopic States ◽

Bose Einstein ◽

Qubit States

Abstract We propose a novel platform for quantum metrology based on qubit states of two Bose-Einstein condensate solitons, optically manipulated, trapped in a double-well potential, and coupled through nonlinear Josephson effect. We describe steady-state solutions in different scenarios and perform a phase space analysis in the terms of population imbalance - phase difference variables to demonstrate macroscopic quantum self-trapping regimes. Schrödinger-cat states, maximally path-entangled (N00N) states, and macroscopic soliton qubits are predicted and exploited to distinguish the obtained macroscopic states in the framework of binary (non-orthogonal) state discrimination problem. For arbitrary phase estimation in the framework of linear quantum metrology approach, these macroscopic soliton states are revealed to have a scaling up to the Heisenberg limit (HL). The examples illustrate the HL estimation of angular frequency between the ground and first excited macroscopic states of the condensate, which opens new perspectives for current frequency standard technologies.

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Sub-fourier quantum metrology through bright solitary trains in Bose–Einstein condensate

International Journal of Quantum Information ◽

10.1142/s0219749919500199 ◽

2019 ◽

Vol 17 (02) ◽

pp. 1950019

Author(s):

Suranjana Ghosh ◽

Jayanta Bera ◽

Prasanta K. Panigrahi ◽

Utpal Roy

Keyword(s):

Phase Space ◽

Careful Analysis ◽

Einstein Condensate ◽

Quantum Metrology ◽

Soliton Dynamics ◽

Bose Einstein Condensate ◽

Precision Phase ◽

Value Estimation ◽

Phase Sensitive ◽

Bose Einstein

We propose to utilize the Bose–Einstein condensate (BEC) for precision phase sensitive measurement of position and momentum displacements. The controlled two-soliton dynamics can be turned into a quantum probe to measure these parameters with high precision in an experimentally verified system of bright solitary trains. A careful phase space analysis of the dynamics of the mesoscopic wave packet is carried out through Wigner phase space picture for finding out the parameter domain exhibiting sub-Planck structures, required for precision quantum metrology. We propose two experimentally feasible scenarios, one involving the overall phase and the other through the relative phase between the two-solitons when they are oscillating inside the trap. In both the cases, detailed analytical studies are carried out through the overlap functions which reveal the sensitivity issue. A careful analysis is also performed to find the parametric domain relevant for the use of BEC for weak value estimation.

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Bell correlations between spatially separated pairs of atoms

Nature Communications ◽

10.1038/s41467-019-12192-8 ◽

2019 ◽

Vol 10 (1) ◽

Cited By ~ 5

Author(s):

D. K. Shin ◽

B. M. Henson ◽

S. S. Hodgman ◽

T. Wasak ◽

J. Chwedeńczuk ◽

...

Keyword(s):

Quantum Mechanics ◽

Quantum Nonlocality ◽

Quantum Mechanical ◽

Quantum Metrology ◽

Trapped Atoms ◽

Solid State Electron ◽

Spin Correlations ◽

Helium Atoms ◽

Internal States ◽

Bose Einstein

Abstract Bell correlations are a foundational demonstration of how quantum entanglement contradicts the classical notion of local realism. Rigorous validation of quantum nonlocality have only been achieved between solid-state electron spins, internal states of trapped atoms, and photon polarisations, all weakly coupling to gravity. Bell tests with freely propagating massive particles, which could provide insights into the link between gravity and quantum mechanics, have proven to be much more challenging to realise. Here we use a collision between two Bose-Einstein condensates to generate spin entangled pairs of ultracold helium atoms, and measure their spin correlations along uniformly rotated bases. We show that correlations in the pairs agree with the theoretical prediction of a Bell triplet state, and observe a quantum mechanical witness of Bell correlations with $$6\sigma$$ 6 σ significance. Extensions to this scheme could find promising applications in quantum metrology, as well as for investigating the interplay between quantum mechanics and gravity.

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