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Welcome to the website supporting the virtual seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics.

This virtual seminar series is part of the regular real life seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics that was initiated by Miloslav Znojil in 2003. It is intended to bridge the gap, caused by the COVID-19 pandemic, between the real life XIXth meeting and the upcoming XXth meeting in Santa Fe in 2021. For past events see the PHHQP website. The subject matter of this series is the study of physical aspects of non-Hermitian systems from a theoretical and experimental point of view. Of special interest are systems that possess a PT-symmetry (a simultaneous reflection in space and time).

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Upcoming : Latevi Lawson, 23/09, 15:00 London time (=14:00 GMT)

Minimal and maximal lengths from non-Hermitian position-dependent noncommutativity

Abstract: A minimum length scale of the order of Planck length is a feature of many models of quantum gravity that seek to unify quantum mechanics and gravitation. Recently, Perivolaropoulos in his seminal work [1] predicted the simultaneous existence of minimal and maximal length measurements. More recently, we have shown that both measurable lengths can be obtained from position-dependent noncommutativity [2]. In this talk, we present an alternative derivation of these lengths from non-Hermitian position-dependent noncommutativity [3]. We explore in one hand, the similarities between the maximal uncertainty measurement and the classical properties of gravity. Then, the connection between the minimal uncertainties and the non-Hermicity quantum mechanic scenarios. We will show that theexistence of minimal uncertainties are the consequences of non-Hermicities of some operators that are generators of the non-commutative algebra. With an appropriate Dyson map, we demonstrate by a similarity transformation that the physically meaningful of dynamical quantum systems is generated by a hidden Hermitian position-dependent non-commutative algebra. This transformation, neither changes the properties of gravity and nor removes the uncertainty measurements at this scale. It just gets rid of the fuzziness induced by minimal uncertainty measurements. Finally, we study eigenvalue problem of a free particle in a square-well potential in these new Hermitian variables.

[1] : L. Perivolaropoulos, Cosmological horizons, uncertainty principle, and maximum length quantum mechanics, Phys. Rev. D 95, 103523 (2017)

[2] : L. Lawson, Minimal and maximal lengths from position-dependent noncommutativity, J. Phys. A: Math. Theor. 53, 115303 (2020)

[3] L. Lawson, Minimal and maximal lengths from non-Hermitian position-dependent noncommutativity, arXiv: 2106.03586

Check your local time here https://www.timeanddate.com/worldclock/

14:00 GMT = 15:00 in London = 10:00 in New York = 23:00 in Tokyo

Upcoming seminars

Latevi Lawson, 23/09, 15:00 London time (=14:00 GMT)

Minimal and maximal lengths from non-Hermitian position-dependent noncommutativity

Andrei Smilga, 07/10, 15:00 London time (=14:00 GMT)

New classes of dynamical systems with benign ghosts

Federico Roccati, 21/10, 15:00 London time (=14:00 GMT)

Non-Hermitian skin effect as an impurity problem

09,

Ali Mostafazadehi, 04/11, 15:00 London time (=14:00 GMT)

TBA

Jacob Muldoon, 30/09, 14:00 London time (=14:00 GMT)

Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation

Ross Wakefield, 30/09, 14:30 London time (=14:30 GMT)

Photonic quantum simulations of coupled PT-symmetric Hamiltonians

Abdelhafid Bounames, 30/09, 15:00 London time (=13:30 GMT)

A real expectation value of the time-dependent non-Hermitian Hamiltonians

,0 9 , 09,

Himadri Barman, 30/09, 15:30 London time (=14:00 GMT)

A tale of two kinds of exceptional point in a hydrogen molecule

Takanobu Taira, 14/10, 14:00 London time (=14:00 GMT)

Non-Hermitian gauge field theory and BPS solutions

Rebecca Tenney,14/10, 14:30 London time (=14:30 GMT)

New exact and approximation methods for time-dependent non-Hermitian quantum systems

Akhil Kumar, 14/10, 15:00 London time (=13:30 GMT)

Exceptional points and quantum entanglement via unitary and thermal dynamics

,0 9 , 09,

Kaustubh Argarwal, 14/10, 15:30 London time (=14:00 GMT)

Exploring the PT-symmetry breaking threshold in a Kitaev chain with one pair of gain-loss potentials

Complete list of speakers

  1. Ali Mostafazadeh, (Koç University, Turkey) 07/05
  2. Nick Mavromatos, (King’s College, Uni. of London, UK) 14/05
  3. Phillip Mannheim, (University of Connecticut, US) 21/05
  4. Fabio Bagarello, (University of Palermo, Italy) 04/06
  5. Dorje Brody, (University of Surrey, UK) 18/06
  6. Savannah Garmon, (Osaka Prefecture University, Japan) 02/07
  7. Yogesh Joglekar, (Indiana Uni. Purdue University, US) 16/07
  8. Andrei Smilga, (University of Nantes, France) 23/07
  9. Eva-Maria Graefe, (Imperial College London, UK) 30/07
  10. Avadh Saxena, (Los Alamos National Laboratory, US) 13/08
  11. Li Ge, (City University of New York, US) 20/08
  12. Carl Bender, (Washington University in St. Louis, US) 27/08
  13. Vladimir Konotop, (Universidade de Lisboa, Portugal) 10/09
  14. Joshua Feinberg, (University of Haifa and Technion, Israel) 24/09
  15. Bhabani Prasad Mandal, (BHU, Varanasi, India) 08/10
  16. Stéphane Boris Tabeu, (University of Yaounde, Cameroon) 15/10
  17. Naomichi Hatano, (University of Tokyo, Japan) 22/10
  18. Stefan Rotter, (Vienna University of Technology, Austria) 05/11
  19. Maxim Chernodub, (Inst Denis Poisson, CNRS, France) 12/11
  20. Pijush Ghosh, (Siksha-Bhavana, Visva-Bharati, India) 19/11
  21. Mikhail Plyushchay, (Universidad de Santiago, Chile) 03/12
  22. Qing-hai Wang, (National Univ. of Singapore, Singapore) 17/12
  23. Gonzalo Muga, (University of the Basque Country, Spain) 14/01
  24. Stella Schindler, (Massachusetts Institute of Technology, US) 21/01
  25. Miloslav Znojil, (Nucl. Phys. Inst. of the AS, Czech Republic) 28/01
  26. Roman Riser, (University of Haifa, Israel) 11/02
  27. Duncan O’Dell, (McMaster University, Canada) 25/02
  28. Mustapha Maamache, (Ferhat Abbas University, Algeria) 11/03
  29. Andreas Ruschhaupt, (University College Cork, Ireland) 01/04
  30. Hamidreza Ramezani, (Univ. of Texas Rio Grande Valley, US) 08/04
  31. Andreas Fring, (City, University of London, UK) 22/04
  32. Andrew Harter, (University of Tokyo, Japan) 06/05
  33. Özlem Yeşiltaş, (Gazi University, Turkey) 20/05
  34. Iveta Semorádová, (Czech Techn. Univ. Prague, Czech Republic) 03/06
  35. Hugh Jones, (Imperial College London, UK) 17/06
  36. Marta Reboiro, (University of La Plata, Argentina) 01/07
  37. Ken Mochizuki, (Tohoku University, Japan) 15/07
  38. Daniel Dizdarevic, (Universität Stuttgart, Germany) 29/07
  39. Philip Mannheim, (University of Connecticut, US) 09/09
  40. Latevi Lawson, (African Inst. for Math. Sciences, Ghana) 23/09
  41. Jacob Muldoon, (Indiana University Purdue University, US) 30/09
  42. Ross Wakefield, (Indiana University Purdue University, US) 30/09
  43. Abdelhafid Bounames, (University of Jijel, Algeria) 30/09
  44. Himadri Barman, (Zhejiang University, China) 30/09
  45. Andrei Smilga, (University of Nantes, France) 07/10
  46. Takanobu Taira (City, University of London, UK) 14/10
  47. Rebecca Tenney (City, University of London, UK) 14/10
  48. Akhil Kumar, (Indian Inst. of Science Educ. and Res., India) 14/10
  49. Kaustubh Argarwal, (Indiana University Purdue University, US) 14/10
  50. Federico Roccati, (Università degli Studi di Palermo, Italy) 21/10
  51. Ali Mostafazadeh, (Koç University, Turkey) 04/11
  52. Yogesh Joglekar, (Indiana Uni. Purdue University, US) 18/11
  53. Fabio Bagarello, (Università degli Studi di Palermo, Italy) 02/12
  54. Kohei Kawabata, (University of Tokyo, Japan) 09/12
  55. Tsuneya Yoshida, (University of Tsukuba, Japan) 16/12
  56. Kazuki Yokomizo, (RIKEN National Science Institute, Japan) 06/01
  57. Hamed Ghaemidizicheh, (Univ. Texas Rio Grande Valley, US) 20/01
  58. Géza Lévai, (Institute for Nuclear Research, Hungary) 03/02
  59. Romina Andrea Ramírez, (University of La Plata, Argentina) 17/02
  60. Adolfo del Campo, (University of Luxembourg, Luxembourg) 03/03
  61. Carl Bender, (Washington University in St. Louis, US) 17/03
  62. Micheline Soley, (Yale Quantum Institute, US) 31/03