A spin-energy operator inequality for Heisenberg-coupled qubits

• URL: http://arxiv.org/abs/2302.11267v1
• Date: Wed, 22 Feb 2023 10:29:00 GMT
• Title: A spin-energy operator inequality for Heisenberg-coupled qubits
• Authors: Daniel Ranard and C. Jess Riedel
• Abstract summary: We obtain explicit constants in the special case of a cubic lattice. We briefly discuss the interpretation of this bound in terms of low-energy, approximately non-interacting magnons in spin wave theory.
• Score: 2.588973722689844
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We slightly strengthen an operator inequality identified by Correggi et al. that lower bounds the energy of a Heisenberg-coupled graph of $s=1/2$ spins using the total spin. In particular, $\Delta H \ge C \Delta\vec{S}^2$ for a graph-dependent constant $C$, where $\Delta H$ is the energy above the ground state and $\Delta\vec{S}^2$ is the amount by which the square of the total spin $\vec{S} = \sum_i \vec{\sigma}_i/2$ falls below its maximum possible value. We obtain explicit constants in the special case of a cubic lattice. We briefly discuss the interpretation of this bound in terms of low-energy, approximately non-interacting magnons in spin wave theory and contrast it with another inequality found by B\"arwinkel et al.

Related papers

• Cylindrically confined $H$ atom in magnetic field: variational cut-off factor [0.0]
  We consider the hydrogen atom confined within an impenetrable infinite cylindrical cavity of radius $rho_0$ in the presence of a constant magnetic field. In the Born-Oppenheimer approximation, anchoring the nucleus to the geometric center of the cylinder, a physically meaningful 3-parametric trial function is used to determine the ground state energy.
  arXiv  Detail & Related papers  (2025-01-24T07:38:29Z)
• Vacuum Force and Confinement [65.268245109828]
  We show that confinement of quarks and gluons can be explained by their interaction with the vacuum Abelian gauge field $A_sfvac$.
  arXiv  Detail & Related papers  (2024-02-09T13:42:34Z)
• The effect of a $\delta$ distribution potential on a quantum mechanical particle in a box [0.0]
  We obtain the limit of the eigenfunctions of the time independent Schr"odinger equation as $alphanearrow+infty$ and as $alphasearrow-infty$. We show that each one of these has an energy that coincides with the energy of a certain limiting eigenfunction obtained by taking $|alpha|toinfty$.
  arXiv  Detail & Related papers  (2023-11-05T09:56:48Z)
• Quantum connection, charges and virtual particles [65.268245109828]
  A quantum bundle $L_hbar$ is endowed with a connection $A_hbar$ and its sections are standard wave functions $psi$ obeying the Schr"odinger equation. We will lift the bundles $L_Cpm$ and connection $A_hbar$ on them to the relativistic phase space $T*R3,1$ and couple them to the Dirac spinor bundle describing both particles and antiparticles.
  arXiv  Detail & Related papers  (2023-10-10T10:27:09Z)
• Rigorous derivation of the Efimov effect in a simple model [68.8204255655161]
  We consider a system of three identical bosons in $mathbbR3$ with two-body zero-range interactions and a three-body hard-core repulsion of a given radius $a>0$.
  arXiv  Detail & Related papers  (2023-06-21T10:11:28Z)
• Sample optimal tomography of quantum Markov chains [23.427626096032803]
  A state on a tripartite quantum system $mathcalH_Aotimes mathcalH_B$ forms a Markov chain, i.e., quantum conditional independence, if it can be reconstructed from its marginal on $mathcalH_Aotimes mathcalH_B$. A quantum operation from $mathcalH_B$ to $mathcalH_BotimesmathcalH_C$ via the
  arXiv  Detail & Related papers  (2022-09-06T06:30:37Z)
• Rotational Symmetry and Gauge Invariant Degeneracies on 2D Noncommutative Plane [0.0]
  We find that the energy levels and states of the system are unique and hence, same goes to the degeneracies as well. The degenerate energy levels can always be found if $theta$ is proportional to the ratio between $hbar$ and $momega$.
  arXiv  Detail & Related papers  (2021-12-16T07:03:16Z)
• Ultracold spin-balanced fermionic quantum liquids with renormalized $P$-wave interactions [0.0]
  We consider a spin-balanced degenerate gas of spin-1/2 fermions governed by low-energy $P$-wave interactions. The energy per particle $barcalE$ in the many-body system is calculated by resumming the ladder diagrams.
  arXiv  Detail & Related papers  (2021-07-16T18:00:01Z)
• Truncation effects in the charge representation of the O(2) model [3.770141864638074]
  We study the quantum phase transition in the charge representation with a truncation to spin $S$. The exponential convergence of the phase-transition point is studied in both Lagrangian and Hamiltonian formulations.
  arXiv  Detail & Related papers  (2021-04-13T16:37:21Z)
• Anharmonic oscillator: a solution [77.34726150561087]
  The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$. A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
  arXiv  Detail & Related papers  (2020-11-29T22:13:08Z)
• $\mathcal{PT}$ symmetry of a square-wave modulated two-level system [23.303857456199328]
  We study a non-Hermitian two-level system with square-wave modulated dissipation and coupling. Based on the Floquet theory, we achieve an effective Hamiltonian from which the boundaries of the $mathcalPT$ phase diagram are captured.
  arXiv  Detail & Related papers  (2020-08-17T03:18:36Z)

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.