Cooling arbitrary near-critical systems using hyperbolic quenches

Mitra, Prahar; Ippoliti, Matteo; Bhatt, R. N.; Sondhi, S. L.; Agarwal, Kartiek

doi:10.1103/physrevb.99.104308

Title: Cooling arbitrary near-critical systems using hyperbolic quenches

Journal Article · Fri Mar 29 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.99.104308· OSTI ID:1610648

Mitra, Prahar ^[1]; Ippoliti, Matteo ^[2]; Bhatt, R. N. ^[2]; Sondhi, S. L. ^[2]; Agarwal, Kartiek ^[3]

Inst. for Advanced Study, Princeton, NJ (United States)
Princeton Univ., NJ (United States)
McGill Univ., Montreal, QC (Canada); Princeton Univ., NJ (United States)

We describe a quench protocol that allows the rapid preparation of ground states of arbitrary interacting conformal field theories in 1+1 dimensions. We start from the ground state of a related gapped relativistic quantum field theory and consider sudden quenches along the spacelike trajectories t² – x² = $$T$$ $$^{2}_{0}$$ (parameterized by T₀) to a conformal field theory. Using only arguments of symmetry and conformal invariance, we show that the post-quench stress-energy tensor of the conformal field theory is uniquely constrained up to an overall scaling factor. Crucially, the geometry of the quench necessitates that the system approach the vacuum energy density over all space except the singular lines x = ±t. Here, the above arguments are verified using an exact treatment of the quench for the Gaussian scalar field theory (equivalently the Luttinger liquid), and numerically for the quantum O(N) model in the large-N limit. Additionally, for the Gaussian theory, we find in fact that even when starting from certain excited states, the quench conserves entropy, and is thus also suitable for rapidly preparing excited states. Our methods serve as a fast, alternative route to reservoir-based cooling to prepare quantum states of interest.

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Research Organization:: Princeton Univ., NJ (United States); Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140; SC0009988; SC0016244

OSTI ID:: 1610648

Alternate ID(s):: OSTI ID: 1504540

Journal Information:: Physical Review. B, Vol. 99, Issue 10; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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