Creation and annihilation operators ≈ Creation and annihilation operators
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Matrix product solutions of boundary driven quantum chains Open
We review recent progress on constructing non-equilibrium steady state density operators of boundary driven locally interacting quantum chains, where driving is implemented via Markovian dissipation channels attached to the chain's ends. W…
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A unified theoretical framework for mapping models for the multi-state Hamiltonian Open
We propose a new unified theoretical framework to construct equivalent representations of the multi-state Hamiltonian operator and present several approaches for the mapping onto the Cartesian phase space. After mapping an F-dimensional Ha…
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Creating Weyl nodes and controlling their energy by magnetization rotation Open
As they do not rely on the presence of any crystal symmetry, Weyl nodes are robust topological features of an electronic structure that can occur at any momentum and energy. Acting as sinks and sources of Berry curvature, Weyl nodes have b…
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Electromagnetically-induced-transparency-related phenomena and their mechanical analogs Open
Systems of interacting classical harmonic oscillators have received\nconsiderable attention in the last years as analog models for describing\nelectromagnetically induced transparency (EIT) and associated phenomena. We\nreview these models…
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Skyrmion creation and annihilation by spin waves Open
Single skyrmion creation and annihilation by spin waves in a crossbar geometry are theoretically analyzed. A critical spin-wave frequency is required both for the creation and the annihilation of a skyrmion. The minimum frequencies for cre…
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Method to identify parent Hamiltonians for trial states Open
We describe a general method to identify exact, local parent Hamiltonians for trial states like quantum Hall or spin liquid states, which we have used extensively during the past decade. It can be used to identify exact parent Hamiltonians…
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Paths to annihilation of first- and second-order (anti)skyrmions via (anti)meron nucleation on the frustrated square lattice Open
We study annihilation mechanisms of small first- and second-order skyrmions and antiskyrmions on the frustrated J1−J2−J3 square lattice with broken inversion symmetry (Dzyaloshinskii-Moriya interaction). We find that annihilation happens v…
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Planck scale corrections to the harmonic oscillator, coherent, and squeezed states Open
The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's\nPrinciple predicted by several theories of Quantum Gravity. It consists of a\nmodified commutator between position and momentum. In this work we compute\npotent…
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Bosonic quadratic Hamiltonians Open
We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We…
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Irreversible quantum evolution with quadratic generator: Review Open
We review results on GKSL-type equations with multi-modal generators which are quadratic in bosonic or fermionic creation and annihilation operators. General forms of such equations are presented. The Gaussian solutions are obtained in ter…
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Schwartz operators Open
In this paper, we introduce Schwartz operators as a non-commutative analog of Schwartz functions and provide a detailed discussion of their properties. We equip them, in particular, with a number of different (but equivalent) families of s…
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A persistent particle ontology for QFT in terms of the Dirac sea Open
We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to QFT. By means of the Dirac sea model -- exemplified in the electron sector of…
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Deformed quons and bi-coherent states Open
We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This defo…
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Quantum mechanics of a photon Open
A first-quantized free photon is a complex massless vector field A=(Aμ) whose field strength satisfies Maxwell’s equations in vacuum. We construct the Hilbert space H of the photon by endowing the vector space of the fields A in the tempor…
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Line Operators in Chern-Simons–Matter Theories and Bosonization in Three Dimensions Open
We study Chern-Simons theories at large N with either bosonic or fermionic matter in the fundamental representation. The most fundamental operators in these theories are mesonic line operators, the simplest example being Wilson lines endin…
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ABC of ladder operators for rationally extended quantum harmonic oscillator systems Open
The problem of construction of ladder operators for rationally extended quantum harmonic oscillator (REQHO) systems of a general form is investigated in the light of existence of different schemes of the Darboux-Crum-Krein-Adler transforma…
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Particle creation and annihilation at interior boundaries: one-dimensional models Open
We describe creation and annihilation of particles at external sources in one\nspatial dimension in terms of interior-boundary conditions (IBCs). We derive\nexplicit solutions for spectra, (generalised) eigenfunctions, as well as Green\nfu…
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Normal ordering of degenerate integral powers of number operator and its applications Open
The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a dege…
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Weighted number operators on Bernoulli functionals and quantum exclusion semigroups Open
Quantum Bernoulli noises (QBN for short) are the family of annihilation and creation operators acting on Bernoulli functionals, which satisfy a canonical anticommutation relation in equal-time. In this paper, by using QBN, we first introdu…
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Absorption and emission of a collective excitation by a fermionic quasiparticle in a Fermi superfluid Open
We study the process of absorption or emission of a bosonic collective\nexcitation by a fermionic quasiparticle in a superfluid of paired fermions.\nFrom the RPA equation of motion of the bosonic excitation annihilation\noperator, we obtai…
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Connecting dissipation and noncommutativity: A Bateman system case study Open
Quantum effects on a pair of Bateman oscillators embedded in an ambient\nnoncommutative space (Moyal plane) is analyzed using both path integral and\ncanonical quantization schemes within the framework of Hilbert-Schmidt operator\nformulat…
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Light-front vacuum Open
Background: The vacuum in the light-front representation of quantum field theory is trivial while vacuum in the equivalent canonical representation of the same theory is non-trivial. Purpose: Understand the relation between the vacuum in l…
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Quantization of fractional harmonic oscillator using creation and annihilation operators Open
In this article, the Hamiltonian for the conformable harmonic oscillator used in the previous study [Chung WS, Zare S, Hassanabadi H, Maghsoodi E. The effect of fractional calculus on the formation of quantum-mechanical operators. Math Met…
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Bilinear expansions of lattices of KP <b> <i>τ</i> </b>-functions in BKP <b> <i>τ</i> </b>-functions: A fermionic approach Open
We derive a bilinear expansion expressing elements of a lattice of Kadomtsev-Petviashvili (KP) τ-functions, labeled by partitions, as a sum over products of pairs of elements of an associated lattice of BKP τ-functions, labeled by strict p…
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All-creation and all-annihilation time-dependent -symmetric bosonic Hamiltonians: An infinite squeezing degree at a finite time Open
Made available in DSpace on 2019-10-06T16:41:26Z (GMT). No. of bitstreams: 0\n Previous issue date: 2019-07-24
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Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners Open
We present a systematic recipe for generating and classifying duality transformations in one-dimensional quantum lattice systems. Our construction emphasizes the role of global symmetries, including those described by (non)-abelian groups …
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Quantum vampire: collapse-free action at a distance by the photon annihilation operator Open
An absorber placed into a laser beam is expected to cast a shadow. This expectation is confirmed not only by research, but also by our everyday experience. However, the shadow will not be produced if a weak absorber is known with certainty…
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A note on the Fröhlich dynamics in the strong coupling limit Open
We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state ϕ0 ⊗ξ…
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Dirac oscillator in dynamical noncommutative space Open
In this paper, we address the energy eigenvalues of two-dimensional Dirac oscillator perturbed by a dynamical noncommutative space. We derived the relativistic Hamiltonian of Dirac oscillator in the dynamical noncommutative space, in which…
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Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator Open
The evolution operator of a Caldirola-Kanai type quantum parametric oscillator with a generalized quadratic Hamiltonian is obtained using the Wei-Norman Lie algebraic approach, and time evolution of the eigenstates of a harmonic oscillator…