How to merge pdfs and combine pdf files adobe acrobat dc. Esry used a finiteelement approach to solve for the both the timeindependent gpe, as well as, the hartreefock equations for bosons confined in anisotropic traps 10. Smith, boseeinstein condensation in dilute gases, cambridge university, 01. Efficient and spectrally accurate numerical methods for. Computing ground states of spin2 boseeinstein condensates. Microsoft edge is the default program for opening pdf files on windows 10. Sandro stringari university of trento 1 introduction to boseeinstein condensation 3. Generalized irrotationality condition suppose everything is smooth and j.
Our approach points out the crucial role played by. Stringari this book is an introductory text to the physics of boseeinstein condensation. Grosspitaevskii gp equation for order parameter plays role analogous to maxwell equations in classical electrodynamics. Gross pitaevskii equation for the order parameter and beyond. This phenomenon, first predicted by einstein in 1925, has been realized experimentally in 1995 in a remarkable series of experiments whose. An introduction to the mathematical theory of quantum fluids paolo antonelli gran sasso science institute paolo.
Using landaus theory of twofluid hydrodynamics we investigate the sound modes propagating in a uniform weaklyinteracting superfluid bose gas for values. Universita di trento, dipartimento di fisica, trento, italy. Coherent spin oscillations in a disordered magnet s. In exonucelar systems, the gross pitaevskii equation is widely used to model the magnetic vortex behaviour in fermi holes and in superfluids 7,8,12, where some studies provide also exact. Rj wild, m antezza, lp pitaevskii, s stringari, ea cornell. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest to a growing community of physicists, and is easily accessible to nonspecialists alike. Dodd zerotemperature, meanfield theory of atomic boseeinstein condensates 298 kb mark edwards, r. Theory of boseeinstein condensation in trapped gases. Stationary and time dependent grosspitaevskii equations. A basisset based fortran program to solve the gross.
This phase r is a global phase which means that all the atoms in the condensate have the same phase phase coherence. Anisotropic dependence of tuneout wavelength near dy 741nm. We discuss a natural generalization of the uncertainty inequality holding in the case of nonhermitian operators. Smith, boseeinstein condensation in dilute gases, cambridge university, 01 complexvalued wave function. They describe many physical phenomena, for instance in the theory of super uidity of in boseeinstein condensation. Numerical simulation of boseeinstein condensates based on. In this case, from simple dimensional arguments, the groundstate energy.
Particlewave duality in quantum tunneling of a bright soliton chinghao wang,1,2 tzayming hong,1 raykuang lee,2,3,4. Lev1,2,3 1department of applied physics, stanford university, stanford, california 94305, usa. Buy stationary and time dependent grosspitaevskii equations. Bcs to bec crossover and the unitarity fermi gas mohit. By lucas verney, lev pitaevskii and sandro stringari. You can change the default program for pdf files to open it in a program thats more suitable and featurerich, such as acrobat reader dc or acrobat dc. Particlewave duality in quantum tunneling of a bright soliton. Erdos, schlein and yau, 2010 easy generalization to the time dependent case. The inequality is employed to derive useful constraints on the behaviour of quantum fluctuations in problems with continuous group symmetries. Width of the soliton fixed by healing length width becomes larger and larger as v approaches the sound velocity energy of moving soliton. By using an appropriate randomization of the fourier coefficients in the collision operator, we prove an averaged form of the main estimate which is used in order to contract the duhamel terms that occur in the study of the hierarchy. In a place where the density is non zero, the velocity. Click add files and select the files you want to include in your pdf. Anisotropic dependence of tuneout wavelength near dy 741.
This volume introduces the basic concepts of boseeinstein condensation and superfluidity. Grosspitaevskii dynamics of boseeinstein condensates and. Anisotropic dependence of tuneout wavelength near dy 741nm transition wil kao,1,2 yijun tang,2,3, nathaniel q. In these dilute systems interactions are characterized by a single parameter, the swave scattering length. Since the model produces the correct sound velocity, it correctly describes the long wavelength part of the excitation spectrum. Colorado p2 antonelli, marcati qhd with large data march 29, 2010 8 34. Emphasis is given to the effect of interactions which play a crucial role, bringing the gas into a superfluid phase at low temperature. Pure lihof 4 is a ferromagnet because of its crystal structure and the dominant role of the magnetic dipole interaction 2 between the unpaired f electrons of the ho31 ions. Numerical simulations for boseeinstein condensation bec. Buy stationary and time dependent gross pitaevskii equations. Analytic solution of gross pitaevskii equation tsuzuki, 1971 maximum soliton velocity v fixed by sound velocity c.
Questo conteggio citato da include citazioni ai seguenti articoli in scholar. The ones marked may be different from the article in the profile. Landau damping in weakly interacting bose gases is investigated by means of. Wolfgang pauli institute 2006 thematic program januarydecember, 2006 vienna, austria contemporary mathematics on free shipping on qualified orders. My researchid profile here at the bottom of the page a pdf file of my. The grosspitaevskii equation, also called the nonlinear schrodinger equation nlse, describes. Ground state of the timeindependent grosspitaevskii. Boseeinstein condensation, journal of research of the. Associate pdf files to always open in reader or acrobat on.
Dalfovo and stringari developed a finitedifference based method for solving the timeindependent gpe both for the ground state, and the vortex states, in anisotropic traps. Cazenave book, 2003,tao book 2006, papers from ginibrevelo in the 70s, 80s, colliander, j. Various theoretical approaches to describing the physics of interacting bosons and of interacting fermi gases, giving rise to. In the averaged estimate, we do not need to integrate in the time variable. Clarendon press, apr 3, 2003 literary criticism 382 pages. Pdf the grosspitaevskii equation and boseeinstein condensates. Stringari and treiner 12 have used a somewhat different scheme to modify the. This phenomenon, first predicted by einstein in 1925, has been realized experimentally in 1995 in a remarkable series of experiments whose importance has been recognized by the award of the 2001 nobel prize in physics. Uncertainty principle, quantum fluctuations, and broken. Pitaevskii l p and stringari s 1999 theory of boseeinstein condensation in. Boseeinstein condensation represents a new state of matter and is one of the cornerstones of quantum physics, resulting in the 2001 nobel prize. A natural generalization of the heisenberg uncertainty principle inequality holding for non hermitian operators is presented and applied to the fractional. Landau damping in weakly interacting bose gases is investigated by means of perturbation theory.
The averaged lagrangian of solitons of the boseeinstein condensation is found, on the basis of which it is possible to study the dynamics of solitons under the action of various perturbations. Analytic solution of grosspitaevskii equation tsuzuki, 1971 maximum soliton velocity v fixed by sound velocity c. You can merge pdfs or a mix of pdf documents and other files. Bcs to bec crossover and the unitarity fermi gas mohit randeria. Pdf theory of boseeinstein condensation in trapped gases. This book is an introductory text to the physics of boseeinstein condensation. It makes special reference to the physics of ultracold atomic gases. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest. When nonmagnetic y31 ions are randomly substitut ed for the ho31 ions, the fact that the anisotro pic dipolar interaction can be antiferromagnetic. Applications to bose superfluids, antiferromagnets and crystals at zero temperature are discussed. Acknowledgments this work was supported in part by a grant ota264 and 21, uzbekistan. Gross pitaevskii gp equation for order parameter plays role analogous to maxwell equations in classical electrodynamics.
Thermal effects of the casimir forces on ultra cold gases. Boseeinstein condensates of dilute gases offer a rich field to study fundamental. Pitaevskii, sandro stringari, alessio recati, arxiv. Click, drag, and drop to reorder files or press delete to remove any content you dont want. This spindependent loss can be described by a potential i z up to a constant energy shift i. Stringari, macroscopic dynamics of a trapped boseeinstein condensate in the presence of 1d and 2d optical lattices, phys. Stringari, boseeinstein condensation and superfluidity, oxford university press dlro in id. Stringari approximate solutions of the nonlinear schrodinger equation for ground and excited states of boseeinstein condensates 165 kb r. Optimal persistent currents for interacting bosons on a ring with gauge field matteo rizzi johannes gutenberguniversitat mainz komet seminar 27. Dodd zerotemperature, meanfield theory of atomic boseeinstein condensates 298 kb. This phenomenon, first predicted by einstein in 1925 has been realized experimentally in 1995 in a remarkable series of experiments whose importance has been recognized by the award of the 2001 nobel prize in physics.
A 100, 023607 2019 supersolid symmetry breaking from compressional oscillations in a dipolar quantum gas. Stringari, boseeinstein condensation, oxford science. Apr 03, 2003 the book is an introductory text to the physics of boseeinstein condensation. The order parameter or wave function of a boseeinstein condensate bec is obtained, in a mean field approximation, by the grosspitaevskii equation gpe f. Collective excitations of a trapped bosecondensed gas. Derivation of the grosspitaevskii hierarchy for the dynamics of a boseeinstein condensate. Numerical simulation of boseeinstein condensates based on grosspitaevskii equations author.
In exonucelar systems, the grosspitaevskii equation is widely used to model the magnetic vortex behaviour in fermi holes and in superfluids 7,8,12, where some studies provide also exact. The book is an introductory text to the physics of boseeinstein condensation. Together with evgeny lifshitz and vladimir berestetskii. Exact theory for t0 weakly interacting bose gases follows from schrodinger equation, lieb,seiringer, yingvanson, 2000. The format of the writing is concise, almost journal publication style. The gpe is a nonlinear schrodingerlike equation, including here a. The collision term references to nonlinear schr odinger equation. Quelli contrassegnati con possono essere diversi dallarticolo nel profilo.
Classical ground states susy is unbroken at g 0 w1. This cited by count includes citations to the following articles in scholar. A mathematical framework for optimal bilinear control of nonlinear schr odinger equations of grosspitaevskii type arising in the description of boseeinstein condensates is presented. Bcsbec crossover and the unitarity limit iv the only length characterizing the uniform unitary fermi gas is the average distance between particles d n. Rearrange individual pages or entire files in the desired order.
Hybridization of first and second sound in a weakly interacting bose gas. Sandro stringari university of trento 1 introduction to boseeinstein condensation 4. Pdf the phenomenon of boseeinstein condensation of dilute gases in. Discover book depositorys huge selection of l p pitaevskii books online.
Derivation of the grosspitaevskii hierarchy springerlink. This equation neglects interaction effects arising from the atoms out of the. Pdf the grosspitaevskii equation is discussed at the level of an advanced. Supersymmetry breaking and nambugoldstone fermions in. A mathematical framework for optimal bilinear control of nonlinear schr odinger equations of gross pitaevskii type arising in the description of boseeinstein condensates is presented. An introduction to the mathematical theory of quantum fluids. Optimal persistent currents for interacting bosons on a ring. Optimal persistent currents for interacting bosons on a.458 109 1357 239 1271 533 140 33 1463 970 186 186 346 1550 862 647 241 71 1420 1214 616 22 875 196 610 859 1114 467 422 971 963 622