A Caltech Library Service

Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates

Wilson, Justin H. and Curtis, Jonathan B. and Galitski, Victor M. (2022) Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates. Physical Review A, 105 (4). Art. No. 043316. ISSN 2469-9926. doi:10.1103/physreva.105.043316.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Accepted Version
See Usage Policy.


Use this Persistent URL to link to this item:


It is well established that linear dispersive modes in a flowing quantum fluid behave as though they are coupled to an Einstein-Hilbert metric and exhibit a host of phenomena coming from quantum field theory in curved space, including Hawking radiation. We extend this analogy to any nonrelativistic Goldstone mode in a flowing spinor Bose-Einstein condensate. In addition to showing the linear dispersive result for all such modes, we show that the quadratically dispersive modes couple to a special nonrelativistic spacetime called a Newton-Cartan geometry. The kind of spacetime (Einstein-Hilbert or Newton-Cartan) is intimately linked to the mean-field phase of the condensate. To illustrate the general result, we further provide the specific theory in the context of a pseudospin-1/2 condensate where we can tune between relativistic and nonrelativistic geometries. We uncover the fate of Hawking radiation upon such a transition: it vanishes and remains absent in the Newton-Cartan geometry despite the fact that any fluid flow creates a horizon for certain wave numbers. Finally, we use the coupling to different spacetimes to compute and relate various energy and momentum currents in these analog systems. While this result is general, present-day experiments can realize these different spacetimes including the magnon modes for spin-1 condensates such as ⁸⁷Rb, ⁷Li, ⁴¹K (Newton-Cartan), and ²³Na (Einstein-Hilbert).

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Wilson, Justin H.0000-0001-6903-0417
Curtis, Jonathan B.0000-0001-8544-0555
Alternate Title:Analogue spacetimes from nonrelativistic Goldstone modes in spinor condensates
Additional Information:© 2022 American Physical Society. (Received 2 January 2022; accepted 12 April 2022; published 25 April 2022) We would like to thank Gil Refael for crucial discussions which lead to this work. We also thank Andrey Gromov and Luca Delacrétaz for indispensable suggestions. This work was supported by the US Army Research Laboratory and the US Army Research Office under Contracts No. W911NF1310172, NSF DMR-2037158, and the Simons Foundation (J.B.C. and V.M.G.). J.H.W. and V.M.G. performed part of this work at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. J.B.C. and V.M.G. performed part of this work at the Kavli Institute for Theoretical Physics and thank KITP for hospitality and support. J.B.C. was supported in part by the Heising-Simons Foundation, the Simons Foundation, and National Science Foundation Grant No. NSF PHY-1748958. J.H.W. thanks the Air Force Office for Scientific Research for support.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Army Research LaboratoryUNSPECIFIED
Army Research Office (ARO)W911NF1310172
Simons FoundationUNSPECIFIED
Kavli Institute for Theoretical PhysicsUNSPECIFIED
Heising-Simons FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20220601-257657000
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114983
Deposited By: George Porter
Deposited On:02 Jun 2022 18:07
Last Modified:02 Jun 2022 18:07

Repository Staff Only: item control page