A Bosonic Model of Quantum Holography
- URL: http://arxiv.org/abs/2311.01516v1
- Date: Thu, 2 Nov 2023 18:04:10 GMT
- Title: A Bosonic Model of Quantum Holography
- Authors: Brian Swingle, Michael Winer
- Abstract summary: We analyze a model of qubits which we argue has an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model.
The model is known as the quantum $q$-spin model because it features $q$-local interactions between qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We analyze a model of qubits which we argue has an emergent quantum
gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK)
model. The model we consider is known as the quantum $q$-spin model because it
features $q$-local interactions between qubits. It was previously studied as a
model of a quantum spin glass, and while we find that the model is glassy for
$q=2$, $q=3$, and likely $q=4$, we also find evidence for previously unexpected
SYK-like behavior for the quenched free energy down to the lowest temperatures
for $q \geq 5$. This SYK-like physics includes power-law correlation functions
and an extensive low temperature entropy, so we refer to the model as Spin SYK.
The model is generic in that it includes all possible $q$-body couplings, lacks
most symmetries, and has no spatial structure, so our results can be construed
as establishing a certain ubiquity of quantum holography in systems dominated
by many-body interactions. Furthermore, we discuss a generalized family of
models which includes Spin SYK and which provably exhibit SYK-like physics in
the solvable limit of large local Hilbert space dimension. We also comment on
implications of a bosonic system with SYK-like properties for the study of
holography, Hamiltonian complexity, and related topics.
Related papers
- D-commuting SYK model: building quantum chaos from integrable blocks [7.876232078364128]
We study the spectrum of this model analytically in the double-scaled limit.
For finite $d$ copies, the spectrum is close to the regular SYK model in UV but has an exponential tail $eE/T_c$ in the IR.
We propose the existence of a new phase around $T_c$, and the dynamics should be very different in two phases.
arXiv Detail & Related papers (2024-11-19T19:00:06Z) - Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom.
These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
arXiv Detail & Related papers (2024-06-26T18:27:15Z) - Utilizing Quantum Processor for the Analysis of Strongly Correlated Materials [34.63047229430798]
This study introduces a systematic approach for analyzing strongly correlated systems by adapting the conventional quantum cluster method to a quantum circuit model.
We have developed a more concise formula for calculating the cluster's Green's function, requiring only real-number computations on the quantum circuit instead of complex ones.
arXiv Detail & Related papers (2024-04-03T06:53:48Z) - Quantum Chaos on Edge [36.136619420474766]
We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems.
The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension.
While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
arXiv Detail & Related papers (2024-03-20T11:31:51Z) - Thermodynamics and dynamics of coupled complex SYK models [0.0]
This work establishes the universality of this shared universality class and chaotic properties for SYK-like models.
We demonstrate that the coupled SYK system remains maximally chaotic in the large-$q$ limit at low temperatures.
These findings establish robustness and open avenues for broader inquiries into the universality and chaos in complex quantum systems.
arXiv Detail & Related papers (2023-12-22T12:26:42Z) - Modeling Non-Covalent Interatomic Interactions on a Photonic Quantum
Computer [50.24983453990065]
We show that the cQDO model lends itself naturally to simulation on a photonic quantum computer.
We calculate the binding energy curve of diatomic systems by leveraging Xanadu's Strawberry Fields photonics library.
Remarkably, we find that two coupled bosonic QDOs exhibit a stable bond.
arXiv Detail & Related papers (2023-06-14T14:44:12Z) - A cavity quantum electrodynamics implementation of the
Sachdev--Ye--Kitaev model [9.987055028382876]
We propose a feasible implementation of the SYK model in cavity quantum electrodynamics platforms.
We show how driving a cloud of fermionic atoms trapped in a multi-mode optical cavity retrieves the physics of the SYK model.
Our work provides a blueprint for realising the SYK model in a scalable system, with the prospect of studying holographic quantum matter in the laboratory.
arXiv Detail & Related papers (2023-03-20T18:00:00Z) - New insights on the quantum-classical division in light of Collapse
Models [63.942632088208505]
We argue that the division between quantum and classical behaviors is analogous to the division of thermodynamic phases.
A specific relationship between the collapse parameter $(lambda)$ and the collapse length scale ($r_C$) plays the role of the coexistence curve in usual thermodynamic phase diagrams.
arXiv Detail & Related papers (2022-10-19T14:51:21Z) - An SYK-inspired model with density-density interactions: spectral & wave
function statistics, Green's function and phase diagram [27.84400682210533]
The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable.
We present a variant of the (complex) SYK model, which restores this integrable.
arXiv Detail & Related papers (2021-05-07T12:29:12Z) - Variational wavefunctions for Sachdev-Ye-Kitaev models [0.0]
Given a class of $q$-local Hamiltonians, is it possible to find a simple variational state whose energy is a finite fraction of the ground state energy in the thermodynamic limit?
We show that Gaussian states fail dramatically in the fermionic case, like for the Sachdev-Ye-Kitaev (SYK) models.
This prompts us to propose a new class of wavefunctions for SYK models inspired by the variational coupled cluster algorithm.
arXiv Detail & Related papers (2020-09-08T18:00:08Z) - A Sparse Model of Quantum Holography [0.0]
We study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random hypergraphs constructed either by a random pruning procedure or by randomly sampling regular hypergraphs.
We argue that this sparse SYK model recovers the interesting global physics of ordinary SYK even when $k$ is of order unity.
Our argument proceeds by constructing a path integral for the sparse model which reproduces the conventional SYK path integral plus gapped fluctuations.
arXiv Detail & Related papers (2020-08-05T18:21:42Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.