Spin squeezing, entanglement and quantum metrology with Bose?Einstein condensates

@article{Gross2012SpinSE,
  title={Spin squeezing, entanglement and quantum metrology with Bose?Einstein condensates},
  author={Christian Gross},
  journal={Journal of Physics B},
  year={2012},
  volume={45},
  pages={103001}
}
  • C. Gross
  • Published 23 March 2012
  • Physics
  • Journal of Physics B
Squeezed states, special kinds of entangled states, are known as a useful resource for quantum metrology. In interferometric sensors, they allow us to overcome the ‘classical’ projection noise limit stemming from the independent nature of the individual photons or atoms within the interferometer. Motivated by the potential impact on metrology as well as by fundamental questions in the context of entanglement, a lot of theoretical and experimental effort has been made to study squeezed states… 
Quantum metrology from a quantum information science perspective
We summarize important recent advances in quantum metrology, in connection to experiments in cold gases, trapped cold atoms and photons. First we review simple metrological setups, such as quantum
Quantum nondemolition measurement based generation of entangled states in two Bose–Einstein condensates
We theoretically study a scheme for generating entanglement between two Bose–Einstein condensates (BECs). The scheme involves placing two BECs in the path of a Mach–Zehnder interferometer, where the
PH4110: Research Review Entangled States in Quantum Metrology
Quantum entanglement enhances the precision of the phase measurements beyond the standard quantum limit. Phase measurement using entangled states has precision bounded by the Heisenberg limit.
Quantum metrology with spin cat states under dissipation
TLDR
This scheme provides a realizable way to achieve high-precision measurements via dissipative quantum systems of Bose atoms via spin cat states (a kind of non-Gaussian entangled states in superposition of two quasi-orthogonal spin coherent states) under dissipation.
Quantum thermometry and resource theories in generalized spin-boson models
Properties such as quantum coherence and entanglement are known to represent resources that can be used in metrology to surpass the experimental resolution of classical systems. This field has been
Spontaneous spin squeezing in a rubidium BEC
We describe an experiment where spin squeezing occurs spontaneously within a standard Ramsey sequence driving a two-component Bose-Einstein condensate (BEC) of 87Rb atoms trapped in an elongated
Coherent manipulation of spin squeezing in atomic Bose-Einstein condensate via electromagnetically induced transparency
We propose a scheme to coherently control spin squeezing of atomic Bose-Einstein condensate (BEC) via the technique of electromagnetically induced transparency (EIT). We study quantum dynamics of the
Split spin-squeezed Bose–Einstein condensates
We investigate and model the behaviour of split spin-squeezed Bose-Einstein condensates (BECs) system. In such a system, a spin-polarized BEC is first squeezed using a $ (S^z)^2 $ interaction, then
Generating Stable Spin Squeezing by Squeezed-Reservoir Engineering.
TLDR
This work proposes a scheme to generate stable SS resorting to neither the spin-spin coupling nor the coherent driving on the TLSs, and exhibits the advantages over previous ones in the scaling relation of the SS parameter with the number of the TLS's.
Molecular interferometers: effects of Pauli principle on entangled-enhanced precision measurements
. Feshbach molecules forming a Bose-Einstein condensate (BEC) behave as non-ideal bosonic particles due to their underlying fermionic structure. We study the observable consequences of the fermion
...
...

References

SHOWING 1-10 OF 151 REFERENCES
Squeezing and entanglement in a Bose–Einstein condensate
TLDR
Spin squeezed states suitable for atomic interferometry are demonstrated by splitting a condensate into a few parts using a lattice potential by implying entanglement between the particles.
Spin Squeezing and Non-linear Atom Interferometry with Bose-Einstein Condensates
Interferometry is the most precise measurement technique known today. It is based on interference and therefore on the wave-like nature of the resources – photons or atoms – in the interferometer. As
Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
TLDR
There is an optimal degree of decoherence induced by the quantum measurement which maximizes the generated entanglement, and a 2-color QND scheme used in this paper is shown to have a number of advantages for entanglements generation as compared with a single- color QND measurement.
‘Designer atoms’ for quantum metrology
TLDR
This work uses a decoherence-free subspace with specifically designed entangled states to demonstrate precision spectroscopy of a pair of trapped Ca+ ions and gets the electric quadrupole moment, which is of use for frequency standard applications.
Atom-chip-based generation of entanglement for quantum metrology
TLDR
The experimental generation of multi-particle entanglement on an atom chip is reported by controlling elastic collisional interactions with a state-dependent potential to generate spin-squeezed states of a two-component Bose–Einstein condensate; such states are a useful resource for quantum metrology.
Atomic homodyne detection of continuous-variable entangled twin-atom states
TLDR
The realization of an atomic analogue to homodyne detection for the measurement of matter-wave quadratures and the application of this technique to a quantum state produced by spin-changing collisions in a Bose–Einstein condensate reveals continuous-variable entanglement, as well as the twin-atom character of the state.
Sub-shot-noise phase sensitivity with a Bose-Einstein condensate Mach-Zehnder interferometer
Bose-Einstein condensates (BEC), with their coherence properties, have attracted wide interest for their possible application to ultraprecise interferometry and ultraweak force sensors. Since
Many-particle entanglement with Bose–Einstein condensates
TLDR
This work proposes a method to achieve substantial entanglement of a large number of atoms in a Bose–Einstein condensate, which is then allowed to evolve freely and should be realizable with present technology.
Observation of squeezed light with 10-dB quantum-noise reduction.
TLDR
It is shown experimentally that strong squeezing of light's quantum noise is possible and reached a benchmark squeezing factor of 10 in power (10 dB).
Nonlinear atom interferometer surpasses classical precision limit
TLDR
It is shown experimentally that the classical precision limit can be surpassed using nonlinear atom interferometry with a Bose–Einstein condensate and the results provide information on the many-particle quantum state, and imply the entanglement of 170 atoms.
...
...