Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states

Quantum spins of mesoscopic size are a well-studied playground for engineering nonclassical states. If the spin represents the collective state of an ensemble of qubits, its nonclassical behavior is linked to entanglement between the qubits. In this paper, we report on an experimental study of entan...

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Main Authors: Tanish Satoor, Aurélien Fabre, Jean-Baptiste Bouhiron, Alexandre Evrard, Raphael Lopes, Sylvain Nascimbene
Format: Article
Language:English
Published: American Physical Society 2021-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.043001
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author Tanish Satoor
Aurélien Fabre
Jean-Baptiste Bouhiron
Alexandre Evrard
Raphael Lopes
Sylvain Nascimbene
author_facet Tanish Satoor
Aurélien Fabre
Jean-Baptiste Bouhiron
Alexandre Evrard
Raphael Lopes
Sylvain Nascimbene
author_sort Tanish Satoor
collection DOAJ
description Quantum spins of mesoscopic size are a well-studied playground for engineering nonclassical states. If the spin represents the collective state of an ensemble of qubits, its nonclassical behavior is linked to entanglement between the qubits. In this paper, we report on an experimental study of entanglement between two subsystems of dysprosium's electronic spin. Its ground state, of angular momentum J=8, can formally be viewed as a set of 2J qubits symmetric upon exchange. To access entanglement properties, we partition the spin by optically coupling it to an excited state J^{′}=J−1, which removes a pair of qubits in a state defined by the light polarization. Starting with the well-known W and squeezed states, we extract the concurrence of qubit pairs, which quantifies their nonclassical character. We also directly demonstrate entanglement between the 14- and 2-qubit subsystems via an increase in entropy upon partition. In a complementary set of experiments, we probe decoherence of a state prepared in the excited level J^{′}=J+1 and interpret spontaneous emission as a loss of a qubit pair in a random state. This allows us to contrast the robustness of nonclassical pairwise correlations of the W state with the fragility of the coherence involved in a Schrödinger cat state. Our findings open up the possibility to engineer novel types of entangled atomic ensembles, in which entanglement occurs within each atom's electronic spin as well as between different atoms. Qubit ensembles with large entanglement depth could then be realized with a few atoms only, facilitating the scaling up of quantum-enhanced sensors.
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spelling doaj.art-767327861330432593a1c768e2ed8be22024-04-12T17:14:30ZengAmerican Physical SocietyPhysical Review Research2643-15642021-10-013404300110.1103/PhysRevResearch.3.043001Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical statesTanish SatoorAurélien FabreJean-Baptiste BouhironAlexandre EvrardRaphael LopesSylvain NascimbeneQuantum spins of mesoscopic size are a well-studied playground for engineering nonclassical states. If the spin represents the collective state of an ensemble of qubits, its nonclassical behavior is linked to entanglement between the qubits. In this paper, we report on an experimental study of entanglement between two subsystems of dysprosium's electronic spin. Its ground state, of angular momentum J=8, can formally be viewed as a set of 2J qubits symmetric upon exchange. To access entanglement properties, we partition the spin by optically coupling it to an excited state J^{′}=J−1, which removes a pair of qubits in a state defined by the light polarization. Starting with the well-known W and squeezed states, we extract the concurrence of qubit pairs, which quantifies their nonclassical character. We also directly demonstrate entanglement between the 14- and 2-qubit subsystems via an increase in entropy upon partition. In a complementary set of experiments, we probe decoherence of a state prepared in the excited level J^{′}=J+1 and interpret spontaneous emission as a loss of a qubit pair in a random state. This allows us to contrast the robustness of nonclassical pairwise correlations of the W state with the fragility of the coherence involved in a Schrödinger cat state. Our findings open up the possibility to engineer novel types of entangled atomic ensembles, in which entanglement occurs within each atom's electronic spin as well as between different atoms. Qubit ensembles with large entanglement depth could then be realized with a few atoms only, facilitating the scaling up of quantum-enhanced sensors.http://doi.org/10.1103/PhysRevResearch.3.043001
spellingShingle Tanish Satoor
Aurélien Fabre
Jean-Baptiste Bouhiron
Alexandre Evrard
Raphael Lopes
Sylvain Nascimbene
Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
Physical Review Research
title Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
title_full Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
title_fullStr Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
title_full_unstemmed Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
title_short Partitioning dysprosium's electronic spin to reveal entanglement in nonclassical states
title_sort partitioning dysprosium s electronic spin to reveal entanglement in nonclassical states
url http://doi.org/10.1103/PhysRevResearch.3.043001
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