Subcontractor: Consider a two level system with Hamilatonian

timer Asked: Nov 5th, 2015

Question description

Consider a two level system with Hamiltonian

H = E_0 |E_0> + E_1 |E_1>

where |E> is Dirac notation for a quantum state E with eigenstates

|E_0> = 1/sqr(2) ( |0> + |1> )


|E_1> = 1/sqr(2) ( |0> - |1>)

(a) Consider a quantum state which starts as |0> at t= 0. Compute the minimal amount of time it takes the system to reach the orthogonal state |1>. Express the answer in terms of the expectation value and/or the standard deviation of the energy.

Tutor Answer

(Top Tutor) Studypool Tutor
School: Duke University
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags
Study Guides

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors