Access the full text.
Sign up today, get DeepDyve free for 14 days.
E. Lieb, R. Seiringer, J. Solovej, J. Yngvason (2005)
The Mathematics of the Bose Gas and its Condensation
T. Cazenave (2003)
Semilinear Schrodinger Equations
N Benedikter, M Porta, B Schlein (2016)
Effective Evolution Equations from Quantum Dynamics, Springer Briefs in Mathematical Physics
B. Schlein (2007)
Dynamics of Bose-Einstein CondensatesarXiv: Mathematical Physics
P. Pickl (2010)
Derivation of the time dependent Gross–Pitaevskii equation with external fieldsReviews in Mathematical Physics, 27
(2016)
Mean-field effective dynamics and quantum fluctuations for a binary condensate
B. Pachpatte (1998)
Inequalities for differential and integral equations
BG Pachpatte (1998)
Inequalities for Differential and Integral Equations, Mathematics in Science and Engineering
EH Lieb, R Seiringer, JP Solovej, J Yngvason (2005)
The Mathematics of the Bose Gas and its Condensation, Oberwolfach Seminars
Niels Benedikter, M. Porta, B. Schlein (2015)
Effective Evolution Equations from Quantum DynamicsarXiv: Mathematical Physics
P. Pickl (2009)
A Simple Derivation of Mean Field Limits for Quantum SystemsLetters in Mathematical Physics, 97
D. Stamper-Kurn, M. Andrews, A. Chikkatur, S. Inouye, H. Miesner, J. Stenger, W. Ketterle (1997)
OPTICAL CONFINEMENT OF A BOSE-EINSTEIN CONDENSATEPhysical Review Letters, 80
A. Knowles, P. Pickl (2009)
Mean-Field Dynamics: Singular Potentials and Rate of ConvergenceCommunications in Mathematical Physics, 298
A. Jüngel, Rada-Maria Weishäupl (2013)
BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELDMathematical Models and Methods in Applied Sciences, 23
P. Pickl (2009)
Derivation of the Time Dependent Gross-Pitaevskii Equation Without Positivity Condition on the InteractionJournal of Statistical Physics, 140
C. Myatt, E. Burt, R. Ghrist, E. Cornell, C. Wieman (1997)
PRODUCTION OF TWO OVERLAPPING BOSE-EINSTEIN CONDENSATES BY SYMPATHETIC COOLINGPhysical Review Letters, 78
Thomas Heil, P. Pickl (2012)
Mean Field Limits in Bosonic Systems
Xiaoguan Li, Yonghong Wu, S. Lai (2010)
A sharp threshold of blow-up for coupled nonlinear Schrödinger equationsJournal of Physics A: Mathematical and Theoretical, 43
G. Modugno, M. Modugno, F. Riboli, G. Roati, M. Inguscio (2002)
Two atomic species superfluid.Physical review letters, 89 19
Li Ma, Lin Zhao (2007)
Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger systemJournal of Mathematical Physics, 49
B. Schlein (2008)
Derivation of Effective Evolution Equations from Microscopic Quantum DynamicsarXiv: Mathematical Physics
Eric Cornell, C. Wieman (2021)
BOSE-EINSTEIN CONDENSATIONStructural Aspects of Quantum Field Theory and Noncommutative Geometry
A. Michelangeli (2008)
Equivalent definitions of asymptotic 100% B.E.C.
A. Michelangeli (2007)
Role of scaling limits in the rigorous analysis of Bose-Einstein condensationJournal of Mathematical Physics, 48
T Cazenave (2003)
Semilinear Schrödinger equations, Courant Lecture Notes in Mathematics
We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrödinger dynamics is effectively described by a system of coupled cubic non-linear Schrödinger equations, one for each component.
Analysis and Mathematical Physics – Springer Journals
Published: Sep 1, 2016
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.