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Cold Atom Computation: From Many-Body Localisation to the Higgs Mode

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Analogue Quantum Simulation

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Abstract

A powerful and highly flexible platform for analogue quantum simulation is a lattice of cold atoms which can be created in the lab via laser beams and spatially varying magnetic fields. The experimental implementation of the cold atom simulator is such that the system can be tuned to mimic condensed matter phenomena such as many-body localisation and the Higgs mode. Detailed analysis of these case studies shows them to exemplify the notion of analogue quantum computation. That is, the type of analogue quantum simulation in which source phenomena is being appealed to for the specific purpose of gaining understanding of formal properties of a target simulation model.

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Notes

  1. 1.

    Although for our purpose, the specific experiments at focus aren’t considered to be representing an actual concrete system.

  2. 2.

    See Bruder et al. (2005) for a review.

  3. 3.

    There is a wealth of philosophical discussion of questions relating to the emergence of novel behaviours in the thermodynamic limit, usually with a focus on classical statistical mechanics rather than quantum mechanics; see, for example, (Batterman, 2002; Mainwood, 2006; Butterfield, 2011; Saatsi and Reutlinger, 2018; Palacios, 2018, 2019). Oddly, philosophers seem, as of yet, not to have focused much on the question of the emergence of time asymmetry in thermodynamics from quantum statistical mechanics. For philosophical discussion of the status of the arrow of time in thermodynamics see (Brown and Uffink 2001; Callender, 2016). For discussion of the time reversal invariance of quantum theory see (Roberts, 2017, 2019). For fascinating recent work on time’s arrow and initial quantum states see (Chen, 2020).

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Authors and Affiliations

  1. Joint Center for Quantum Information and Computer Science (QuICS), University of Maryland and NIST, College Park, MD, USA

    Dominik Hangleiter

  2. Wolfson Institute for Biomedical Research, University College London, London, UK

    Jacques Carolan

  3. Department of Philosophy, University of Bristol, Bristol, UK

    Karim P. Y. Thébault

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  1. Dominik Hangleiter
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  2. Jacques Carolan
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  3. Karim P. Y. Thébault
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Correspondence to Dominik Hangleiter .

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Hangleiter, D., Carolan, J., Thébault, K.P.Y. (2022). Cold Atom Computation: From Many-Body Localisation to the Higgs Mode. In: Analogue Quantum Simulation. Springer, Cham. https://doi.org/10.1007/978-3-030-87216-8_3

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