Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

Ng, H. T.; Chu, Shih‐I

doi:10.1103/physreva.84.023629

Cited by 9 publications

(7 citation statements)

References 43 publications

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“…Most of the interferometers with atomic BECs can be described by Bose-Josephson Hamiltonians. Here, for simplicity, we only discuss Bose-Josephson systems 16,25,[157][158][159][160][161][162][163][164][165][166][167][168][169][170][171][172][173] of Bose-Einstein condensed atoms in two different modes. There are two typical Bose-Josephson systems.…”

Section: Nonlinear Interferometry With Spin Squeezed Statesmentioning

confidence: 99%

Quantum Metrology With Cold Atoms

Huang

Zhong

et al. 2014

Annual Review of Cold Atoms and Molecules

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Quantum metrology is the science that aims to achieve precision measurements by making use of quantum principles. Attribute to the well-developed techniques of manipulating and detecting cold atoms, cold atomic systems provide an excellent platform for implementing precision quantum metrology. In this chapter, we review the general procedures of quantum metrology and some experimental progresses in quantum metrology with cold atoms. Firstly, we give the general framework of quantum metrology and the calculation of quantum Fisher information, which is the core of quantum parameter estimation. Then, we introduce the quantum interferometry with single and multiparticle states. In particular, for some typical multiparticle states, we analyze their ultimate precision limits and show how quantum entanglement could enhance the measurement precision beyond the standard quantum limit. Further, we review some experimental progresses in quantum metrology with cold atomic systems.

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Section: Nonlinear Interferometry With Spin Squeezed Statesmentioning

confidence: 99%

Quantum Metrology With Cold Atoms

Huang

Zhong

et al. 2014

Annual Review of Cold Atoms and Molecules

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“…Owing its foundations to research in NMR [5,26], the idea of altering the dynamics of interacting quantum systems has proven invaluable in the field of quantum control. For instance, in the context of dynamic error suppression [27][28][29][30] a quantum system may be effectively isolated from its environment, not by eliminating the physical interaction, but by inducing a dynamical response which acts to average out the coupling to the environment. This picture extends to interactions between quantum coherent systems as in spin decoupling and recoupling in NMR [5,18,19,31] and have been used to provide universality proofs of quantum simulators using a set of operations similar to universal quantum computation [13][14][15].…”

Section: General Conceptsmentioning

confidence: 99%

Programmable quantum simulation by dynamic Hamiltonian engineering

2014

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Quantum simulation is a promising near term application for quantum information processors with the potential to solve computationally intractable problems using just a few dozen interacting qubits [1,2,3]. A range of experimental platforms have recently demonstrated the basic functionality of quantum simulation applied to quantum magnetism, quantum phase transitions, and relativistic quantum mechanics [4,5,6,7,8,9,10,11]. However, in all cases, the physics of the underlying hardware restricts the achievable inter-particle interactions and forms a serious constraint on the versatility of the simulators. To broaden the scope of these analog devices, we develop a suite of pulse sequences that permit a user to efficiently realize average Hamiltonians that are beyond the native interactions of the system [12,13]. Specifically, this approach permits the generation of all symmetrically coupled translation-invariant two-body Hamiltonians with homogeneous on-site terms, a class which includes all spin-1/2 XYZ chains, but generalized to include long-range couplings. Our work builds on previous work proving that universal simulation is possible using both entangling gates and single-qubit unitaries [14,15,16]. We show that determining the appropriate "program" of unitary pulse sequences which implements an arbitrary Hamiltonian transformation can be formulated as a linear program over functions defined by those pulse sequences, running in polynomial time and scaling efficiently in hardware resources. Our analysis extends from circuit model quantum information to adiabatic quantum evolutions, representing an important and broad-based success in applying functional analysis to the field of quantum information.

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“…1. The two condensates are coupled to the two different magnetic fields via their magnetic dipoles [6,13].…”

Section: Systemmentioning

confidence: 99%

“…1. Here we consider the two hyperfine spin states of atoms to be coupled to the magnetic fields via their magnetic dipoles [6,13]. Recently, a BEC has been shown to be transported to a distance about 1 mm by using a conveyor belt [14].…”

Section: Introductionmentioning

confidence: 99%

Quantum-limited measurement of magnetic-field gradient with entangled atoms

2013

Phys. Rev. A

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We propose a method to detect the microwave magnetic-field gradient by using a pair of entangled two-component Bose-Einstein condensates. We consider the two spatially separated condensates to be coupled to the two different magnetic fields. The magnetic-field gradient can be determined by measuring the variances of population differences and relative phases between the two-component condensates in two wells. The precision of measurement can reach the Heisenberg limit. We study the effects of one-body and two-body atom losses on the detection. We find that the entangled atoms can outperform the uncorrelated atoms in probing the magnetic fields in the presence of atom losses. The effect of atom-atom interactions is also discussed.

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Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

Cited by 9 publications

References 43 publications

Quantum Metrology With Cold Atoms

Quantum Metrology With Cold Atoms

Programmable quantum simulation by dynamic Hamiltonian engineering

Quantum-limited measurement of magnetic-field gradient with entangled atoms

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