AdS/CMT correspondence

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In theoretical physics, AdS/CMT correspondence is the program to apply string theory to condensed matter theory using the AdS/CFT correspondence.

Over the decades, experimental condensed matter physicists have discovered a number of exotic states of matter, including superconductors, superfluids and Bose–Einstein condensates. These states are described using the formalism of quantum field theory, but some phenomena are difficult to explain using standard field theoretic techniques. Some condensed matter theorists hope that the AdS/CFT correspondence will make it possible to describe these systems in the language of string theory and learn more about their behavior.[1]

So far some success has been achieved in using string theory methods to describe the transition of a superfluid to an insulator. A superfluid is a system of electrically neutral atoms that flows without any friction. Such systems are often produced in the laboratory using liquid helium, but recently experimentalists have developed new ways of producing artificial superfluids by pouring trillions of cold atoms into a lattice of criss-crossing lasers. These atoms initially behave as a superfluid, but eventually transition to an insulating state as experimentalists increase the intensity of the lasers. During the transition, the atoms behave in unusual ways which have recently been understood by considering a dual description where the fluid is viewed as a field theoretic analog of a black hole.[2]

With many physicists turning towards string-based methods to attack problems in condensed matter physics, some theorists working in this area have expressed doubts about whether the AdS/CFT correspondence can provide the tools needed to realistically model real-world systems. In a letter to Physics Today, Nobel laureate Philip W. Anderson wrote[3]

As a very general problem with the AdS/CFT approach in condensed-matter theory, we can point to those telltale initials "CFT"—conformal field theory. Condensed-matter problems are, in general, neither relativistic nor conformal. Near a quantum critical point, both time and space may be scaling, but even there we still have a preferred coordinate system and, usually, a lattice. There is some evidence of other linear-T phases to the left of the strange metal about which they are welcome to speculate, but again in this case the condensed-matter problem is overdetermined by experimental facts.

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  1. ^ Merali 2011, p.303
  2. ^ Sachdev 2013, p.51
  3. ^ Anderson, Philip. "Strange connections to strange metals". Physics Today. Retrieved 14 August 2013.