Mermin's inequalities in Quantum Field Theory

• URL: http://arxiv.org/abs/2303.12195v3
• Date: Wed, 11 Oct 2023 17:09:17 GMT
• Title: Mermin's inequalities in Quantum Field Theory
• Authors: Philipe De Fabritiis, Itzhak Roditi, Silvio Paolo Sorella
• Abstract summary: We introduce unitary operators which create, out of the Minkowski vacuum $| 0 rangle$, GHZ-type states. We show that Mermin's inequalities turn out to be maximally violated when evaluated on these states.
• Score: 0.46040036610482665
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A relativistic Quantum Field Theory framework is devised for Mermin's inequalities. By employing smeared Dirac spinor fields, we are able to introduce unitary operators which create, out of the Minkowski vacuum $| 0 \rangle$, GHZ-type states. In this way, we are able to obtain a relation between the expectation value of Mermin's operators in the vacuum and in the GHZ-type states. We show that Mermin's inequalities turn out to be maximally violated when evaluated on these states.

Related papers

• Nonlocality under Jaynes-Cummings evolution: beyond pseudospin operators [44.99833362998488]
  We re-visit the generation and evolution of (Bell) nonlocality in hybrid scenarios whose dynamics is determined by the Jaynes-Cummings Hamiltonian. Recent results on the optimal Bell violation in qubit-qudit systems show that the nonlocality is much greater than previously estimated.
  arXiv  Detail & Related papers  (2024-10-14T16:01:23Z)
• Bell's and Mermin's inequalities, entangled coherent states and unitary operators [0.5439020425819]
  The Bell and Mermin inequalities for entangled coherent states are scrutinized by making use of the unitary displacement operators. A violation of the Mermin inequality close to the maximum allowed value is reported.
  arXiv  Detail & Related papers  (2024-05-08T16:30:37Z)
• Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory [0.0]
  The interaction between Unruh-De Witt spin $1/2$ detectors and a real scalar field is scrutinized. The use of the modular theory enables to evaluate in an exact way the trace over the quantum field degrees of freedom.
  arXiv  Detail & Related papers  (2024-01-06T22:01:33Z)
• Using Weyl operators to study Mermin's inequalities in Quantum Field Theory [0.0]
  We use the Tomita-Takesaki modular theory to compute the vacuum expectation value of the Mermin operator. We are able to demonstrate that Mermin's inequalities are violated when examined within the vacuum state of a scalar field theory.
  arXiv  Detail & Related papers  (2023-12-12T01:00:13Z)
• Probing Mermin's inequalities violations through pseudospin operators [0.0]
  The violation of Mermin's inequalities is analyzed by making use of two different Bell setups built with pseudospin. We identify the parameters leading to the violation of Mermin's inequalities and to the saturation of the bound predicted by Quantum Mechanics.
  arXiv  Detail & Related papers  (2023-06-13T12:50:18Z)
• Comments on the Bell-Clauser-Horne-Shimony-Holt inequality [0.0]
  In Quantum Mechanics the entangled spin singlet states are thought as the vacuum states of suitable Hamiltonians. The Bell-CHSH inequality turns out to be parametrized by the Unruh temperature.
  arXiv  Detail & Related papers  (2023-01-05T05:17:38Z)
• Conformal field theory from lattice fermions [77.34726150561087]
  We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions. We show how these results lead to explicit error estimates pertaining to the quantum simulation of conformal field theories.
  arXiv  Detail & Related papers  (2021-07-29T08:54:07Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
  We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
  arXiv  Detail & Related papers  (2020-09-24T18:00:13Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)

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.