Equilibrium dynamics of infinite-range quantum spin glasses in a field
- URL: http://arxiv.org/abs/2309.03255v1
- Date: Wed, 6 Sep 2023 18:00:00 GMT
- Title: Equilibrium dynamics of infinite-range quantum spin glasses in a field
- Authors: Maria Tikhanovskaya, Subir Sachdev, Rhine Samajdar
- Abstract summary: We study the symmetry breaking function for the spin glass phase of the quantum Ising model.
For all $h, the spin state has full replica symmetry breaking, and gaplessness only appears after imposition of an additional marginal stability condition.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We determine the low-energy spectrum and Parisi replica symmetry breaking
function for the spin glass phase of the quantum Ising model with
infinite-range random exchange interactions and transverse and longitudinal
($h$) fields. We show that, for all $h$, the spin glass state has full replica
symmetry breaking, and the local spin spectrum is gapless with a spectral
density which vanishes linearly with frequency. These results are obtained
using an action functional$\unicode{x2014}$argued to yield exact results at low
frequencies$\unicode{x2014}$that expands in powers of a spin glass order
parameter, which is is bilocal in time, and a matrix in replica space. We also
present the exact solution of the infinite-range spherical quantum $p$-rotor
model at nonzero $h$: here, the spin glass state has one-step replica symmetry
breaking, and gaplessness only appears after imposition of an additional
marginal stability condition. Possible connections to experiments on random
arrays of trapped Rydberg atoms are noted.
Related papers
- Quantum Phonon Dynamics Induced Spontaneous Spin-Orbit Coupling [9.748987642024122]
A spin-dependent electron-phonon coupling model is investigated on a half-filled square lattice.
Spin-orbit coupling emerges as an order in the ground state for any $lambda$ in the adiabatic limit.
Our work opens up the possibility of hidden spin-orbit coupling in materials where it is otherwise forbidden by lattice symmetry.
arXiv Detail & Related papers (2024-10-22T12:19:52Z) - 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) - Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism [1.6385815610837167]
We show that the algebra of Parisi ultrametric matrices is recovered by the real-time, replica-free, Dyson-Keldysh equations of infinite-range quantum spin glasses in the late time glassy limit.
This connects to earlier results on classical and quantum systems showing how ultrametricity emerges from the persistent slow aging dynamics of the glass phase.
arXiv Detail & Related papers (2024-06-09T16:06:15Z) - Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising
model [44.84660857803376]
We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model.
The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
arXiv Detail & Related papers (2024-01-09T20:37:48Z) - Quantum spin chains with bond dissipation [0.26107298043931204]
We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model.
Our results suggest that the critical properties of the dissipative system are the same as for the spin-Peierls model.
arXiv Detail & Related papers (2023-10-17T18:46:27Z) - Entanglement and replica symmetry breaking in a driven-dissipative
quantum spin glass [17.92148801290204]
We describe a quantum cavity QED system that realizes an intrinsically driven-dissipative spin glass.
We observe that entanglement plays an important role in the emergence of replica symmetry breaking.
This practicable system could serve as a testbed for exploring how quantum effects enrich the physics of spin glasses.
arXiv Detail & Related papers (2023-07-19T17:59:14Z) - Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins.
These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field.
We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
arXiv Detail & Related papers (2023-05-10T12:59:07Z) - Scalable Spin Squeezing from Finite Temperature Easy-plane Magnetism [26.584014467399378]
We conjecture that any Hamiltonian exhibiting finite temperature, easy-plane ferromagnetism can be used to generate scalable spin squeezing.
Our results provide insights into the landscape of Hamiltonians that can be used to generate metrologically useful quantum states.
arXiv Detail & Related papers (2023-01-23T18:59:59Z) - A Quantum Repeater Platform based on Single SiV$^-$ Centers in Diamond
with Cavity-Assisted, All-Optical Spin Access and Fast Coherent Driving [45.82374977939355]
Quantum key distribution enables secure communication based on the principles of quantum mechanics.
Quantum repeaters are required to establish large-scale quantum networks.
We present an efficient spin-photon interface for quantum repeaters.
arXiv Detail & Related papers (2022-10-28T14:33:24Z) - Long-range-ordered phase in a quantum Heisenberg chain with interactions
beyond nearest neighbors [0.0]
cavity mediated infinite range interactions can induce fast scrambling in a Heisenberg $XXZ$ spin chain.
We analyze the kaleidoscope of quantum phases that emerge in this system from the interplay of these interactions.
arXiv Detail & Related papers (2021-03-07T05:20:52Z) - Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems.
We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)
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.