Construction of Entangled Many-body States via the Higgs Mechanism
- URL: http://arxiv.org/abs/2201.06585v2
- Date: Tue, 25 Jan 2022 11:33:26 GMT
- Title: Construction of Entangled Many-body States via the Higgs Mechanism
- Authors: Pureum Noh, Eun-Gook Moon
- Abstract summary: We generate entanglement of quantum many-body states by applying key ideas of the Higgs mechanism to systems without gauge structures.
We uncover a symmetry-protected topological state with two Ising symmetries on a square lattice and find entangled states with different symmetries and lattices.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We provide a guiding principle to generate entanglement of quantum many-body
states by applying key ideas of the Higgs mechanism to systems without gauge
structures. Unitary operators associated with the Higgs mechanism are
constructed, named as mean-operators, and employed to prepare entangled
many-body states out of a trivial state. We uncover a
symmetry-protectedtopological state with two Ising symmetries on a square
lattice and find entangled states with different symmetries and lattices.
Plausible applications to quantum simulators such as Rydberg atoms and trapped
ions, are also discussed, interpreting the mean-operators as the Ising coupling
gates.
Related papers
- Gauge theory and mixed state criticality [0.0]
In mixed quantum states, the notion of symmetry is divided into two types: strong and weak symmetry.
We present a way to construct various SSB phases for strong symmetries, starting from the ground state phase diagram of lattice gauge theory models.
arXiv Detail & Related papers (2024-11-07T01:40:56Z) - Observation of Higgs and Goldstone modes in U(1) symmetry-broken Rydberg atomic systems [23.439762818503013]
We report an experimental signature of Higgs and Goldstone modes in a U(1) symmetry-broken Rydberg atomic gases.
By constructing two probe fields to excite atoms, we observe the distinct phase and amplitude fluctuations of Rydberg atoms collective excitations.
arXiv Detail & Related papers (2024-10-08T13:45:59Z) - Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions.
We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
arXiv Detail & Related papers (2024-07-03T18:00:52Z) - Edge modes and symmetry-protected topological states in open quantum
systems [0.0]
Topological order offers possibilities for processing quantum information which can be immune to imperfections.
We show robustness of certain aspects of $ZZtimes Z$ symmetry-protected trajectory (SPT) order against a wide class of dissipation channels.
Our work thus proposes a novel framework to study the dynamics of dissipative SPT phases.
arXiv Detail & Related papers (2023-10-13T21:09:52Z) - Symmetric Mass Generation [0.0]
"Symmetric Mass Generation" has deep connections with interacting topological insulator/superconductors.
It has strong implications for the lattice regularization of chiral gauge theories.
arXiv Detail & Related papers (2022-04-29T17:55:56Z) - Entanglement in highly symmetric multipartite quantum states [0.0]
We present a construction of genuinely entangled multipartite quantum states based on the group theory.
We propose quantum circuits efficiently generating such states, which in general have smaller complexity than the circuits necessary to create fully symmetric states.
arXiv Detail & Related papers (2021-05-26T17:56:37Z) - Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
We propose a decoherent mechanism for sensing quantum chaos.
The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
arXiv Detail & Related papers (2021-04-13T17:24:08Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Non-Liquid Cellular States [0.0]
We generalize the cellular topological states to liquid or non-liquid cellular states.
We propose a mechanism to construct more general non-abelian states by gluing gauge-symmetry-breaking vs gauge-symmetry-extension interfaces.
This approach may also lead us toward a unifying framework for quantum systems of both higher-symmetries and sub-system/sub-dimensional symmetries.
arXiv Detail & Related papers (2020-02-28T18:59:58Z)
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.