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arXiv:2008.06338

It's anyon's game: the race to quantum computation

Jainendra K. Jain

Published Aug 8, 2020• 1 citation
arXivHTMLPDF

Abstract

In 1924, Satyendra Nath Bose dispatched a manuscript introducing the concept now known as Bose statistics to Albert Einstein. Bose could hardly have imagined that the exotic statistics of certain emergent particles of quantum matter would one day suggest a route to fault-tolerant quantum computation. This non-technical Commentary on "anyons," namely particles whose statistics is intermediate between Bose and Fermi, aims to convey the underlying concept as well as its experimental manifestations to the uninitiated.

DOI
10.48550/arxiv.2008.06338

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In 1924, Satyendra Nath Bose dispatched a manuscript introducing the concept now known as Bose statistics to Albert Einstein. Bose could hardly have imagined that the exotic statistics of certain emergent particles of quantum matter would one day suggest a route to fault-tolerant quantum computation. This non-technical Commentary on "anyons," namely particles whose statistics is intermediate between Bose and Fermi, aims to convey the underlying concept as well as its experimental manifestations to the uninitiated.
Satyendra Nath (S.N.) Bose is one of the great Indian scientists. His remarkable work on the black body radiation or derivation of Planck’s law led to quantum statistics, in particular, the statistics of photon. Albert Einstein applied Bose’s idea to a gas made of atoms and predicted a new state of matter now called Bose-Einstein condensate. It took 70 years to observe the predicted condensation phenomenon in the laboratory. With a brief introduction to the formative period of Professor Bose, this research survey begins with the founding works on quantum statistics and, subsequently, provides a brief account of the series of events terminating in the experimental realization of Bose-Einstein condensation. We also provide two simple examples to visualize the role of synthetic spin-orbit coupling in a quasi-one-dimensional condensate with attractive atom-atom interaction.
In 1924, Satyendra Nath Bose's pioneering work laid the foundation for Bose-Einstein statistics, which describes particles with integral spins. His derivation of Planck's law for blackbody radiation bypassed classical assumptions, relying instead on the statistical mechanics of light quanta. Bose's methodology addressed limitations in existing theories, such as Einstein's dependence on classical concepts like Wien's displacement law and Bohr's correspondence principle. Further, his work underscored the incompatibility between classical electrodynamics and quantum theory, proposing innovative statistical approaches to thermodynamic equilibrium. The insights from Bose's work extend beyond theoretical physics. As was immediately noticed by Einstein, for temperatures below a critical threshold, Bose-Einstein statistics predicts the formation of a Bose-Einstein condensate (BEC), where particles condense en-masse into the ground state. This quantum phenomenon on a macroscopic scale opened avenues to explore new technologies in recent times, apart from throwing light on new phases of matter. This article revisits Bose's groundbreaking contributions, highlighting their enduring impact on quantum mechanics, statistical physics, and field theory.
The Bose Statistics were first predicted by the Indian Physicist Satyendra Nath Bose in 1924. Later in 1925, Einstein extended the work of Bose to non-interacting particles.The resulting statistics that came out of the work of Bose and Einstein is known as Bose-Einstein Statistics. It took researchers and scientists nearly 70 years to create the first Bose-Einstein Condensate in the laboratory in 1995. Ever since the discovery of BEC, research in this field has flourished very rapidly both theoretically and experimentally. Discovery of BEC has initiated some new topics such as atom optics, atom interferometry, quantum computation, Cavity Quantum Electrodynamics of BEC, precision measurement, low dimensional physics etc.This book explores some of the exciting new developments in a field, which combines Bose-Einstein Condensates and Optical cavities.Particularly, we show how the transmission spectroscopy can be utilized to measure the properties of the BEC in the optical cavity.
Topological quantum computation started as a niche area of research aimed at employing particles with exotic statistics, called anyons, for performing quantum computation. Soon it evolved to include a wide variety of disciplines. Advances in the understanding of anyon properties inspired new quantum algorithms and helped in the characterization of topological phases of matter and their experimental realization. The conceptual appeal of topological systems as well as their promise for building fault-tolerant quantum technologies fuelled the fascination in this field. This 'focus on' collection brings together several of the latest developments in the field and facilitates the synergy between different approaches.