Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit

We devise a scalable scheme for simulating a quantum phase transition from paramagnetism to frustrated magnetism in a superconducting flux-qubit network, and we show how to characterize this system experimentally both macroscopically and microscopically. The proposed macroscopic characterization of...

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Main Authors: Joydip Ghosh, Barry C Sanders
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/3/033015
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author Joydip Ghosh
Barry C Sanders
author_facet Joydip Ghosh
Barry C Sanders
author_sort Joydip Ghosh
collection DOAJ
description We devise a scalable scheme for simulating a quantum phase transition from paramagnetism to frustrated magnetism in a superconducting flux-qubit network, and we show how to characterize this system experimentally both macroscopically and microscopically. The proposed macroscopic characterization of the quantum phase transition is based on the transition of the probability distribution for the spin-network net magnetic moment with this transition quantified by the difference between the Kullback–Leibler divergences of the distributions corresponding to the paramagnetic and frustrated magnetic phases with respect to the probability distribution at a given time during the transition. Microscopic characterization of the quantum phase transition is performed using the standard local-entanglement-witness approach. Simultaneous macro and micro characterizations of quantum phase transitions would serve to verify a quantum phase transition in two ways especially in the quantum realm for the classically intractable case of frustrated quantum magnetism.
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spelling doaj.art-a5733e8d83e04243826191c3ac31a1852023-08-08T14:27:54ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303301510.1088/1367-2630/18/3/033015Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuitJoydip Ghosh0Barry C Sanders1Institute for Quantum Science and Technology, University of Calgary, Calgary, Alberta T2N 1N4, CanadaInstitute for Quantum Science and Technology, University of Calgary, Calgary, Alberta T2N 1N4, Canada; Program in Quantum Information Science, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada; Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Anhui 230026, People’s Republic of China; Shanghai Branch, CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, People’s Republic of ChinaWe devise a scalable scheme for simulating a quantum phase transition from paramagnetism to frustrated magnetism in a superconducting flux-qubit network, and we show how to characterize this system experimentally both macroscopically and microscopically. The proposed macroscopic characterization of the quantum phase transition is based on the transition of the probability distribution for the spin-network net magnetic moment with this transition quantified by the difference between the Kullback–Leibler divergences of the distributions corresponding to the paramagnetic and frustrated magnetic phases with respect to the probability distribution at a given time during the transition. Microscopic characterization of the quantum phase transition is performed using the standard local-entanglement-witness approach. Simultaneous macro and micro characterizations of quantum phase transitions would serve to verify a quantum phase transition in two ways especially in the quantum realm for the classically intractable case of frustrated quantum magnetism.https://doi.org/10.1088/1367-2630/18/3/033015quantum phase transitionsuperconducting qubitquantum simulationfrustrated magnetism
spellingShingle Joydip Ghosh
Barry C Sanders
Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
New Journal of Physics
quantum phase transition
superconducting qubit
quantum simulation
frustrated magnetism
title Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
title_full Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
title_fullStr Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
title_full_unstemmed Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
title_short Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
title_sort quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit
topic quantum phase transition
superconducting qubit
quantum simulation
frustrated magnetism
url https://doi.org/10.1088/1367-2630/18/3/033015
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AT barrycsanders quantumsimulationofmacroandmicroquantumphasetransitionfromparamagnetismtofrustratedmagnetismwithasuperconductingcircuit