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  2. Many-body problem - Wikipedia

    en.wikipedia.org/wiki/Many-body_problem

    Microscopic here implies that quantum mechanics has to be used to provide an accurate description of the system. Many can be anywhere from three to infinity (in the case of a practically infinite, homogeneous or periodic system, such as a crystal), although three- and four-body systems can be treated by specific means (respectively the Faddeev and Faddeev–Yakubovsky equations) and are thus ...

  3. Open quantum system - Wikipedia

    en.wikipedia.org/wiki/Open_quantum_system

    In physics, an open quantum system is a quantum-mechanical system that interacts with an external quantum system, which is known as the environment or a bath.In general, these interactions significantly change the dynamics of the system and result in quantum dissipation, such that the information contained in the system is lost to its environment.

  4. Quantum chaos - Wikipedia

    en.wikipedia.org/wiki/Quantum_chaos

    One open question remains understanding quantum chaos in systems that have finite-dimensional local Hilbert spaces for which standard semiclassical limits do not apply. Recent works allowed for studying analytically such quantum many-body systems. [10] [11]

  5. Many-body localization - Wikipedia

    en.wikipedia.org/wiki/Many-body_localization

    Many-body localization (MBL) is a dynamical phenomenon occurring in isolated many-body quantum systems. It is characterized by the system failing to reach thermal equilibrium , and retaining a memory of its initial condition in local observables for infinite times.

  6. Lindbladian - Wikipedia

    en.wikipedia.org/wiki/Lindbladian

    The Lindblad master equation describes the evolution of various types of open quantum systems, e.g. a system weakly coupled to a Markovian reservoir. [1] Note that the H appearing in the equation is not necessarily equal to the bare system Hamiltonian, but may also incorporate effective unitary dynamics arising from the system-environment ...

  7. Quantum Monte Carlo - Wikipedia

    en.wikipedia.org/wiki/Quantum_Monte_Carlo

    Quantum Monte Carlo is a way to directly study the many-body problem and the many-body wave function beyond these approximations. The most advanced quantum Monte Carlo approaches provide an exact solution to the many-body problem for non-frustrated interacting boson systems, while providing an approximate description of interacting fermion systems.

  8. DiVincenzo's criteria - Wikipedia

    en.wikipedia.org/wiki/DiVincenzo's_criteria

    The DiVincenzo criteria are conditions necessary for constructing a quantum computer, conditions proposed in 1996 by the theoretical physicist David P. DiVincenzo, [1] as being those necessary to construct such a computer—a computer first proposed by mathematician Yuri Manin, in 1980, [2] and physicist Richard Feynman, in 1982 [3] —as a means to efficiently simulate quantum systems, such ...

  9. Localization-protected quantum order - Wikipedia

    en.wikipedia.org/wiki/Localization-protected...

    Studying phase structure in localized systems requires us to first formulate a sharp notion of a phase away from thermal equilibrium. This is done via the notion of eigenstate order: [1] one can measure order parameters and correlation functions in individual energy eigenstates of a many-body system, instead of averaging over several eigenstates as in a Gibbs state.