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Results tagged with quantum-mechanics
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user 321096
Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
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Nonzero expectation value of boson creation operator in ground state of a Bose-Einstein cond...
I was following along with these notes, and just above equation (32) on page 3, the author makes the claim that, "for a Bose condensate, the ground state boson creation operator acquires a finite expe …
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Quantum rigidity and zero-point energy
I am currently going through the Nature review on cuprate superconductors by Keimer at all and I am having a bit of difficulty understanding this sentence, which is located near the top of page 181:
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Reconstructing state from density matrix (and implications for Grover search)
If I am given a density matrix $\rho$ that I know corresponds to a pure state (i.e., $\rho = |\psi\rangle\langle\psi|$ for some $|\psi\rangle$), then is it possible for me to infer the state $|\psi\ra …
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Iterative projection into ground state
In this paper, it says that one can "determine the ground state wave function by applying the projection operator $\exp(-\tau H)$ to an arbitrary initial state $|\Psi\rangle$," and that in the limit o …
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Can the derivative of a gauge-invariant quantity be gauge-dependent?
I am wondering whether it is possible for derivatives of a gauge-invariant quantity to be gauge-dependent. Certainly, the converse is true; taking the curl of a gauge-dependent quantity (the vector po …
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Can bond dimension vary from bond to bond?
Consider a bipartite system composed of subsystems $A$ and $B$, with corresponding Hilbert spaces $\mathcal{H}_A$ and $\mathcal{H}_B$, spanned by $\{\chi_1,...,\chi_n\}$ and $\{\phi_1,...,\phi_m\}$, r …
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