Thermodynamic control —An old paradigm with new applications

Abstract

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Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

“…Among the most successful approaches are transitionless quantum driving [ 9 , 10 , 11 , 12 , 13 ], the fast-forward technique [ 14 , 15 , 16 , 17 ], and methods that rely on identifying the adiabatic invariants [ 18 , 19 , 20 , 21 ], to name just a few. For a comprehensive exposition of the field “shortcuts to adiabaticity”, we refer to recent reviews [ 22 , 23 ], a special collection of articles [ 24 ], and a perspective [ 25 ].…”

“…One way or another, implementing most shortcuts requires knowledge of the energy spectrum, or the use of highly non-local control fields. Therefore, any technique that requires less detailed information about the dynamics appears highly desirable [ 25 ]. In the following, we propose and demonstrate how the method of “time-rescaling” [ 46 ] is generalized to Dirac dynamics.…”

Finite-time two-spin quantum Otto engines: Shortcuts to adiabaticity vs. irreversibility

“…Traditionally, thermodynamic transformations are made quasi-statically, such that they are slow enough so that the subject system is kept at equilibrium at all times. An arbitrary finite time transformation would then require some thermodynamic control [6], so that one could avoid any form of irreversibility (such as entropy production) originating from fast manipulation of the system [7,8]. Techniques of shortcuts to adiabaticity (STA) are perfectly suitable for such control purposes which make sure that the subject system ends up at the adiabatic final state of the desired transformation at a finite time [9].…”

Environment-Assisted Shortcuts to Adiabaticity

“…However, in dynamically reaching such states, the quantum adiabatic theorem [3] poses a formidable challenge since finitetime driving inevitably causes parasitic excitations [4][5][6][7]. Acknowledging and addressing this issue, the field of "shortcuts to adiabaticity" (STA) [8][9][10][11] has developed a variety of techniques that permit to facilitate effectively adiabatic dynamics in finite time.…”

“…Recent years have seen an explosion of work on, for instance, counterdiabatic driving [12][13][14][15][16][17][18][19], the fast-forward method [20][21][22][23], time-rescaling [24,25], methods based on identifying the adiabatic invariant [26][27][28][29], and even generalizations to classical dynamics [30][31][32]. For comprehensive reviews of the various techniques, we refer to the recent literature [9][10][11].…”