Atom interferometer in a double-well potential

Gietka, Karol; Chwedeńczuk, Jan

doi:10.1103/physreva.90.063601

Cited by 7 publications

(9 citation statements)

References 45 publications

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“…It is important at this point to discuss the differences between our system and the more frequently studied double-well system. The typical Hamiltonian studied in the double-well case is [14][15][16]45]…”

Section: Two-mode Metrology With a Bose Gasmentioning

confidence: 99%

“…While in the double-well system interaction produces only a nonlinear term of fixed form, in our system we obtain a renormalization of the single-particle term plus a nonlinear term, whose form depends on the mode functions. Notice also that many authors [14][15][16]45] have been focusing on the estimation of δ ǫ in the Hamiltonian (17). Then the generator Ĵz commutes with the interaction Ĵ2 z .…”

Section: B Su(2) Representation and Parameter Regimesmentioning

confidence: 99%

“…For example, using twomode bosonic atomic systems it is also possible to design an MZI, where the beam splitting process depends on the particular system. These systems can be represented by an assembly of qubits in a symmetric state, the internal states of spinor gases, or cold gases in a double-well trap, see for a selection of the extensive literature [21,[36][37][38][39][40][41][42][43][44][45][46]. We notice that metrology with cold atoms has already been implemented experimentally, e.g., in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Many-body quantum metrology with scalar bosons in a single potential well

2019

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We theoretically investigate the possibility of performing high precision estimation of an externally imposed acceleration using scalar bosons in a single-well trap. We work at the level of a two-mode truncation, valid for weak to intermediate two-body interaction couplings. The splitting process into two modes is in our model entirely caused by the interaction between the constituent bosons and is hence neither due to an externally imposed double-well potential nor due to populating a spinor degree of freedom. The precision enhancement gained by using various initial quantum states using a two-mode bosonic system is well established. Here we therefore instead focus on the effect of the intrinsic dynamics on the precision, where, in a single well, the Hamiltonian assumes a form different from that of the typical double-well case. We demonstrate how interactions can significantly increase the quantum Fisher information maximized over initial states as well as the quantum Fisher information for a fragmented or a coherent state, the two many-body states that can commonly represent the ground state of our system.

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Section: Two-mode Metrology With a Bose Gasmentioning

confidence: 99%

Section: B Su(2) Representation and Parameter Regimesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Many-body quantum metrology with scalar bosons in a single potential well

2019

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“…The double-well potential, as a classical model, has been widely used in Bosonic Josephson junction [28,29], matter-wave interferometry [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] and so on. With the development of the techniques for manipulating ultracold atoms, a variety of double-well atom interferometers [30,35] have been introduced to estimate single parameter.…”

Section: Introductionmentioning

confidence: 99%

Two-parameter estimation with three-mode NOON state in a symmetric three-well system

Yao,

Du,

Xing

et al. 2021

Preprint

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We propose a theoretical scheme to realize two-parameter estimation via a Bose-Einstein condensates confined in a symmetric triple-well. The three-mode NOON state is prepared adiabatically as the initial state. Two phase differences between the wells are two parameters to be estimated. With the help of classical and quantum Fisher information, we study the sensitivity of the triplewell on estimating two phase parameters simultaneously. The result shows that the precision of simultaneous estimation of two parameters in a triple-well system can reach the Heisenberg scaling.

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“…Motivated by the recent experimental and theoretical developments with ultracold atoms in a tailor-made DW potential [23,24,25,26,27,28,29,30,31]; and by the prospect of intriguing and controllable quantum effects such as quantum entanglement [32,33,34] and quantum transport [35,36,37,38,39] using DW traps and DW optical lattices [40,41,42], we here carry out a detailed model study on the quantum dynamics and quantum phases of few interacting bosons or fermions in a DW potential, in terms of newly introduced quantum phase operators [21] for matter-waves. The purpose of this work is to show the effects of the finite-range of two-body interaction with large scattering length on the quantum dynamics and quantum phase properties of bosons or fermions trapped in a double-well (DW) potential.…”

Section: Introductionmentioning

confidence: 99%

Number-phase uncertainty and quantum dynamics of bosons and fermions interacting with a finite range and large scattering length in a double-well potential

Adhikary

Mal

Deb

et al. 2018

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.In a previous paper [Das B et al. J. Phys. B: At. Mol. Opt. Phys 2013 46 035501], it was shown that the unitary quantum phase operators play a particularly important role in quantum dynamics of bosons and fermions in a one-dimensional double-well (DW) when the number of particles is small. In this paper, we define the standard quantum limit (SQL) for phase and number fluctuations, and describe two-mode squeezing for number and phase variables. The usual two-mode number squeezing parameter, also used to describe two-mode entanglement of a quantum field, is defined considering phase as a classical variable. However, when phase is treated as a unitary quantum-mechanical operator, number and phase operators satisfy an uncertainty relation. As a result, the usual definition of number squeezing parameter becomes modified. Twomode number squeezing occurs when the number fluctuation goes below the SQL at the cost of enhanced phase fluctuation. As an application of number-phase uncertainty, we consider bosons or fermions trapped in a quasi-one dimensional double-well (DW) potential interacting via a 3D finite-range two-body interaction potential with large scattering length a s . Under tight-binding or two-mode approximation, we describe in detail the effects of the range of interaction on the quantum dynamics and number-phase uncertainty in the strongly interacting or unitarity regime a s → ±∞. Our results show intriguing coherent dynamics of number-phase uncertainty with number-squeezing for bosons and phase squeezing for fermions. Our results may be important for exploring new quantum interferometry, Josephson oscillations, Bose-Hubbard and Fermi-Hubbard physics with ultracold atoms in DW potentials or DW optical lattices. Particularly interesting will be the question of the importance of quantum phase operators in two-atom interferometry and entanglement.Number-phase uncertainty and quantum dynamics of bosons and fermions interacting with a finite range and lar

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Atom interferometer in a double-well potential

Cited by 7 publications

References 45 publications

Many-body quantum metrology with scalar bosons in a single potential well

Many-body quantum metrology with scalar bosons in a single potential well

Two-parameter estimation with three-mode NOON state in a symmetric three-well system

Number-phase uncertainty and quantum dynamics of bosons and fermions interacting with a finite range and large scattering length in a double-well potential

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