Quantum state that is an element of a Fock space with a well-defined number of particles (or quanta)
In quantum mechanics, a Fock state or number state is a quantum state that is an element of a Fock space with a well-defined number of particles (or quanta). These states are named after the Soviet physicist Vladimir Fock. Fock states play an important role in the second quantization formulation of quantum mechanics.
The particle representation was first treated in detail by Paul Dirac for bosons and by Pascual Jordan and Eugene Wigner for fermions.[1]: 35 The Fock states of bosons and fermions obey useful relations with respect to the Fock space creation and annihilation operators.
^Friedrichs, K. O. (1953). Mathematical aspects of the Quantum Theory of Fields. Interscience Publishers. ASIN B0006ATGK4.
In quantum mechanics, a Fockstate or number state is a quantum state that is an element of a Fock space with a well-defined number of particles (or quanta)...
Klein–Gordon equation. He gave his name to Fock space, the Fock representation and Fockstate, and developed the Hartree–Fock method in 1930. He made many subsequent...
respectively). A general state in Fock space is a linear combination of n-particle states, one for each n. Technically, the Fock space is (the Hilbert space...
however, the quantum system has no classical analog, e.g. an incoherent Fockstate or entangled system, then P is negative somewhere or more singular than...
by Pascual Jordan and Vladimir Fock. In this approach, the quantum many-body states are represented in the Fockstate basis, which are constructed by...
Moreover, it comprises quantum objects like wave functions and a fermionic Fockstate. Inspired by the Langrangian formulation of classical field theory, the...
Fockstate (e.g. a single photon) is the most particle-like state; it has a fixed number of particles, and phase is indeterminate. A coherent state distributes...
Vladimir Fock: Fock matrix Fock operator Fock model Fock representation Fock space Bargmann–Fock space FockstateFock symmetry Fock–Lorentz symmetry Fock–Schwinger...
\rangle _{\nu }=|\phi _{1},\phi _{2},\cdots ,\phi _{n}\rangle _{\nu }} be a Fockstate, composed of single-particle states | ϕ i ⟩ {\displaystyle |\phi _{i}\rangle...
into one object (a Fockstate), and then describe the "evolution" of this state over time using the interaction picture. The Fock space is spanned by...
of the classic binary bit physically realized with a two-state device. A qubit is a two-state (or two-level) quantum-mechanical system, one of the simplest...
mechanics Observable Operator (physics) Quantum state Pure stateFockstate, Fock space Density state Coherent state Heisenberg picture Density matrix Quantum...
In the Hartree–Fock method of quantum mechanics, the Fock matrix is a matrix approximating the single-electron energy operator of a given quantum system...
the particle number operator (see Fockstate) is conjugate to the phase of the classical wave (see coherent state). One measure of air pollution used...
mode". Finally, there also exist twin Fock states for bosonic modes, which can be created by feeding a Fockstate into two arms leading to a beam splitter...
Collider. In modern physics notation, the quantum state of the electromagnetic field is written as a Fockstate, a tensor product of the states for each electromagnetic...
collapse zero-point energy bound state coherent state squeezed coherent state density stateFockstate, Fock space vacuum state quasinormal mode no-cloning...
single Fockstate that minimizes the energy. NP-hard or NP-complete as demonstrated by embedding instances of the Ising model into Hartree-Fock calculations...
})^{n}|0\rangle =n(a^{\dagger })^{n}|0\rangle .} A photon number state (or a Fockstate) is an eigenstate of the number operator. This is why the formalism...
explicitly shows that the pure SMSV consists entirely of even-photon Fockstate superpositions. Single mode squeezed states are typically generated by...
e. the states |01⟩ and |10⟩ in the occupation number representation (Fockstate) of two modes. Using these resources it is possible to implement any single...
predicted the sampling problem had similar complexity for inputs other than Fock-state photons and identified a transition in computational complexity from classically...
defined in the number (Fock) basis. Notice that if we add the two states together, the resulting cat state only contains even Fockstate terms: | c a t e ⟩...