Nematic Confined Phases in the $U(1)$ Quantum Link Model on a Triangular
Lattice: An Opportunity for Near-Term Quantum Computations of String Dynamics
on a Chip
- URL: http://arxiv.org/abs/2107.01283v1
- Date: Fri, 2 Jul 2021 21:15:42 GMT
- Title: Nematic Confined Phases in the $U(1)$ Quantum Link Model on a Triangular
Lattice: An Opportunity for Near-Term Quantum Computations of String Dynamics
on a Chip
- Authors: D. Banerjee, S. Caspar, F.-J. Jiang, J.-H. Peng, and U.-J. Wiese
- Abstract summary: We construct a quantum circuit on a chip to facilitate near-term quantum computations of the non-trivial string dynamics.
The two phases are separated by a weak first order phase transition with an emergent almost exact $SO(2)$ symmetry.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: The $U(1)$ quantum link model on the triangular lattice has two
rotation-symmetry-breaking nematic confined phases. Static external charges are
connected by confining strings consisting of individual strands with
fractionalized electric flux. The two phases are separated by a weak first
order phase transition with an emergent almost exact $SO(2)$ symmetry. We
construct a quantum circuit on a chip to facilitate near-term quantum
computations of the non-trivial string dynamics.
Related papers
- SUSY Quantum Mechanics, (non)-Analyticity and $\ldots$ Phase Transitions [55.2480439325792]
It is shown by analyzing the $1D$ Schr"odinger equation the discontinuities in the coupling constant can occur in both the energies and the eigenfunctions.
arXiv Detail & Related papers (2024-09-04T21:10:36Z) - Coupled vertical double quantum dots at single-hole occupancy [37.69303106863453]
We control vertical double quantum dots confined in a double quantum well, silicon-germanium heterostructure.
We sense individual charge transitions with a single-hole transistor.
tuning the vertical double quantum dot to the (1,1) charge state confines a single hole in each quantum well beneath a single plunger gate.
arXiv Detail & Related papers (2024-01-15T14:46:40Z) - Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits [26.16988649207652]
We show that a qutrit, a three-level quantum system, is capable of realizing this non-equilibrium phase transition.
Results indicate the potential advantage of multi-level (qudit) processors in simulating physical effects.
arXiv Detail & Related papers (2023-10-31T13:10:43Z) - Probing Confinement Through Dynamical Quantum Phase Transitions: From
Quantum Spin Models to Lattice Gauge Theories [0.0]
We show that a change in the type of dynamical quantum phase transitions accompanies the confinement-deconfinement transition.
Our conclusions can be tested in modern quantum-simulation platforms, such as ion-trap setups and cold-atom experiments of gauge theories.
arXiv Detail & Related papers (2023-10-18T18:00:04Z) - Emergence of non-Abelian SU(2) invariance in Abelian frustrated
fermionic ladders [37.69303106863453]
We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette.
Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry.
At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
arXiv Detail & Related papers (2023-05-11T15:57:27Z) - Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators [1.3367376307273382]
We consider the spin-$1/2$ quantum link formulation of $1+1$D quantum electrodynamics with a topological $theta$-angle.
We show an interplay between confinement and the ergodicity-breaking paradigms of quantum many-body scarring and Hilbert-space fragmentation.
arXiv Detail & Related papers (2023-01-18T19:00:01Z) - Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems.
By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
arXiv Detail & Related papers (2021-08-03T17:49:09Z) - Tri-unitary quantum circuits [0.0]
We introduce a class of quantum circuits that are unitary along three distinct "arrows of time"
Two-point correlations in these dynamics are strictly confined to three directions in $ (1+1)$-dimensional spacetime.
We extend our circuit construction to $2+1$ dimensions, where two-point correlation functions are confined to the one-dimensional edges of a tetrahedral light cone.
arXiv Detail & Related papers (2021-06-14T18:10:12Z) - $\mathbb{Z}_3$ quantum double in a superconducting wire array [1.3159512679346685]
We show that a quantum double can be realized in an array of superconducting wires coupled via Josephson junctions.
Our model maps to a quantum three-state Potts model under a duality transformation.
arXiv Detail & Related papers (2021-01-05T19:00:00Z) - Chiral waveguide optomechanics: first order quantum phase transitions
with $\mathbb{Z}_3$ symmetry breaking/ [0.0]
We present a direct mapping between the quantum optomechanical problem of the atoms harmonically trapped in the vicinity of a chiral waveguide and a generalized quantum Rabi model.
We extend the class of the superradiant phase transitions for the systems possessing $mathbbZ_3$ rather than parity $mathbbZ$ symmetry.
arXiv Detail & Related papers (2020-09-02T18:34:21Z) - Quantum anomalous Hall phase in synthetic bilayers via twistless
twistronics [58.720142291102135]
We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions.
We show that our system exhibits topologicalband structures under appropriate conditions.
arXiv Detail & Related papers (2020-08-06T19:58:05Z)
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.