Exact three-colored quantum scars from geometric frustration
- URL: http://arxiv.org/abs/2002.08970v1
- Date: Thu, 20 Feb 2020 19:00:06 GMT
- Title: Exact three-colored quantum scars from geometric frustration
- Authors: Kyungmin Lee, Ronald Melendrez, Arijeet Pal, Hitesh J. Changlani
- Abstract summary: We show the existence of quantum scar eigenstates in simple two-body Hamiltonians with "staggered" interactions.
We also suggest avenues for future experiments which may see this effect in real materials.
- Score: 0.8411385346896411
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-equilibrium properties of quantum materials present many intriguing
properties, among them athermal behavior, which violates the eigenstate
thermalization hypothesis. Such behavior has primarily been observed in
disordered systems. More recently, experimental and theoretical evidence for
athermal eigenstates, known as "quantum scars" has emerged in non-integrable
disorder-free models in one dimension with constrained dynamics. In this work,
we show the existence of quantum scar eigenstates and investigate their
dynamical properties in many simple two-body Hamiltonians with "staggered"
interactions, involving ferromagnetic and antiferromagnetic motifs, in
arbitrary dimensions. These magnetic models include simple modifications of
widely studied ones (e.g., the XXZ model) on a variety of frustrated and
unfrustrated lattices. We demonstrate our ideas by focusing on the two
dimensional frustrated spin-1/2 kagome antiferromagnet, which was previously
shown to harbor a special exactly solvable point with "three-coloring" ground
states in its phase diagram. For appropriately chosen initial product states --
for example, those which correspond to any state of valid three-colors -- we
show the presence of robust quantum revivals, which survive the addition of
anisotropic terms. We also suggest avenues for future experiments which may see
this effect in real materials.
Related papers
- Exploring the properties of quantum scars in a toy model [0.0]
We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system.
Quantum scars, originally identified as traces of classically unstable orbits in certain wavefunctions of chaotic systems, have recently regained interest for their role in non-ergodic dynamics.
arXiv Detail & Related papers (2024-11-05T16:31:08Z) - Experimental signatures of quantum and topological states in frustrated
magnetism [0.21766826415827592]
Frustration in magnetic materials can lead to a diverse range of novel quantum and topological states with exotic quasiparticle excitations.
We review prominent examples of such emergent phenomena, including magnetically-disordered and extensively degenerate spin ices.
We highlight experimental signatures of these often elusive phenomena and single out the most suitable experimental techniques that can be used to detect them.
arXiv Detail & Related papers (2023-10-23T16:29:06Z) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Phase diagram of a distorted kagome antiferromagnet and application to
Y-kapellasite [50.591267188664666]
We reveal a rich ground state phase diagram even at the classical level.
The presented model opens a new direction in the study of kagome antiferromagnets.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Motif magnetism and quantum many-body scars [0.0]
We introduce a family of Hamiltonians withspiral colored eigenstates made from $n$-spin motifs.
The simple structure of these Hamiltonians makes them promising candidates for future experimental studies of quantum many-body scars.
arXiv Detail & Related papers (2021-05-10T18:00:03Z) - Hidden symmetries, spin and charge of artificial magnetic monopoles [77.34726150561087]
We discuss the non-Abelian artificial magnetic monopoles associated with $n$-level energy crossing in quantum systems.
We found that hidden symmetries reveal themselves as observables such as spin, charge, and other physical degrees of freedom.
arXiv Detail & Related papers (2021-04-15T01:29:47Z) - Light-matter interactions near photonic Weyl points [68.8204255655161]
Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point.
We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
arXiv Detail & Related papers (2020-12-23T18:51:13Z) - Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
Quantum scars are non-thermal eigenstates characterized by low entanglement entropy.
We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
arXiv Detail & Related papers (2020-11-16T19:05:50Z) - Frustration-induced emergent Hilbert space fragmentation [0.9453554184019105]
Lattice geometry and quantum mechanics can conspire to produce constrained quantum dynamics and associated glassy behavior.
We study their level statistics and relaxation dynamics to develop a coherent picture of fragmentation in various limits of the XXZ model on the kagome lattice.
arXiv Detail & Related papers (2020-11-03T19:00:01Z) - Simulating artificial one-dimensional physics with ultra-cold fermionic
atoms: three exemplary themes [0.0]
We go over the current experimental progress in exploring the curious one-dimensional quantum world of fermions.
We go over the current experimental progress in exploring the curious one-dimensional quantum world of fermions.
arXiv Detail & Related papers (2020-01-13T13:20:16Z)
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.